101011110000000 has 2048 divisors, whose sum is σ = 375274570544640. Its totient is φ = 23961600000000.

The previous prime is 101011109999981. The next prime is 101011110000007. The reversal of 101011110000000 is 11110101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011110000007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1000109999950 + ... + 1000110000050.

Almost surely, 2^{101011110000000} is an apocalyptic number.

101011110000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187637285272320).

101011110000000 is an abundant number, since it is smaller than the sum of its proper divisors (274263460544640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011110000000 is an frugal number, since it uses more digits than its factorization.

101011110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011110000000 its reverse (11110101), we get a palindrome (101011121110101).

It can be divided in two parts, 101011 and 110000000, that added together give a palindrome (110101011).

The spelling of 101011110000000 in words is "one hundred one trillion, eleven billion, one hundred ten million", and thus it is an aban number.