101102112021120 has 128 divisors (see below), whose sum is σ = 368300550983040. Its totient is φ = 23109054173184.

The previous prime is 101102112021089. The next prime is 101102112021149. The reversal of 101102112021120 is 21120211201101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101102112021120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101102112021120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761225847 + ... + 3761252726.

It is an arithmetic number, because the mean of its divisors is an integer number (2877348054555).

Almost surely, 2^{101102112021120} is an apocalyptic number.

101102112021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102112021120 is an abundant number, since it is smaller than the sum of its proper divisors (267198438961920).

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

101102112021120 is an equidigital number, since it uses as much as digits as its factorization.

101102112021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522478602 (or 7522478590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101102112021120 its reverse (21120211201101), we get a palindrome (122222323222221).

The spelling of 101102112021120 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, twenty-one thousand, one hundred twenty".