101011102112120 has 32 divisors (see below), whose sum is σ = 227765854480320. Its totient is φ = 40317174226560.

The previous prime is 101011102112057. The next prime is 101011102112183. The reversal of 101011102112120 is 21211201110101.

It is an interprime number because it is at equal distance from previous prime (101011102112057) and next prime (101011102112183).

It is a junction number, because it is equal to n+sod(n) for n = 101011102112095 and 101011102112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2727063071 + ... + 2727100110.

It is an arithmetic number, because the mean of its divisors is an integer number (7117682952510).

Almost surely, 2^{101011102112120} is an apocalyptic number.

101011102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011102112120 is an abundant number, since it is smaller than the sum of its proper divisors (126754752368200).

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

101011102112120 is a wasteful number, since it uses less digits than its factorization.

101011102112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454163655 (or 5454163651 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011102112120 its reverse (21211201110101), we get a palindrome (122222303222221).

The spelling of 101011102112120 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred twelve thousand, one hundred twenty".