101011122120 has 128 divisors (see below), whose sum is σ = 307022970240. Its totient is φ = 26583398400.

The previous prime is 101011122119. The next prime is 101011122127. The reversal of 101011122120 is 21221110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101011122096 and 101011122105.

It is not an unprimeable number, because it can be changed into a prime (101011122127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3780247 + ... + 3806873.

It is an arithmetic number, because the mean of its divisors is an integer number (2398616955).

Almost surely, 2^101011122120 is an apocalyptic number.

101011122120 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 101011122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153511485120).

101011122120 is an abundant number, since it is smaller than the sum of its proper divisors (206011848120).

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

101011122120 is a wasteful number, since it uses less digits than its factorization.

101011122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27055 (or 27051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011122120 its reverse (21221110101), we get a palindrome (122232232221).

The spelling of 101011122120 in words is "one hundred one billion, eleven million, one hundred twenty-two thousand, one hundred twenty".