101111111000010 has 288 divisors, whose sum is σ = 282752712824400. Its totient is φ = 25048320878592.

The previous prime is 101111110999993. The next prime is 101111111000063. The reversal of 101111111000010 is 10000111111101.

It can be written as a sum of positive squares in 8 ways, for example, as 30490970990769 + 70620140009241 = 5521863^2 + 8403579^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111110999956 and 101111111000001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 981142966 + ... + 981246014.

Almost surely, 2^{101111111000010} is an apocalyptic number.

101111111000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111111000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141376356412200).

101111111000010 is an abundant number, since it is smaller than the sum of its proper divisors (181641601824390).

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

101111111000010 is a wasteful number, since it uses less digits than its factorization.

101111111000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103702 (or 103676 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111111000010 its reverse (10000111111101), we get a palindrome (111111222111111).

The spelling of 101111111000010 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, ten", and thus it is an aban number.