101011122010120 has 256 divisors, whose sum is σ = 271764979200000. Its totient is φ = 33056815841280.

The previous prime is 101011122009983. The next prime is 101011122010157. The reversal of 101011122010120 is 21010221110101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011122010120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7515142600 + ... + 7515156040.

It is an arithmetic number, because the mean of its divisors is an integer number (1061581950000).

Almost surely, 2^{101011122010120} is an apocalyptic number.

101011122010120 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 101011122010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135882489600000).

101011122010120 is an abundant number, since it is smaller than the sum of its proper divisors (170753857189880).

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

101011122010120 is a wasteful number, since it uses less digits than its factorization.

101011122010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23976 (or 23972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011122010120 its reverse (21010221110101), we get a palindrome (122021343120221).

The spelling of 101011122010120 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, ten thousand, one hundred twenty".