101110021111120 has 160 divisors (see below), whose sum is σ = 282809793300480. Its totient is φ = 32841074833920.

The previous prime is 101110021111093. The next prime is 101110021111123. The reversal of 101110021111120 is 21111120011101.

It is a super-2 number, since 2×101110021111120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101110021111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110021111123) 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, 950130715 + ... + 950237125.

It is an arithmetic number, because the mean of its divisors is an integer number (1767561208128).

Almost surely, 2^{101110021111120} is an apocalyptic number.

101110021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110021111120 is an abundant number, since it is smaller than the sum of its proper divisors (181699772189360).

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

101110021111120 is a wasteful number, since it uses less digits than its factorization.

101110021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195753 (or 195747 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110021111120 its reverse (21111120011101), we get a palindrome (122221141122221).

The spelling of 101110021111120 in words is "one hundred one trillion, one hundred ten billion, twenty-one million, one hundred eleven thousand, one hundred twenty".