1011102120120 has 64 divisors (see below), whose sum is σ = 3107289457440. Its totient is φ = 263050956800.

The previous prime is 1011102120103. The next prime is 1011102120137. The reversal of 1011102120120 is 210212011101.

It is an interprime number because it is at equal distance from previous prime (1011102120103) and next prime (1011102120137).

It is a super-2 number, since 2×1011102120120² (a number of 25 digits) contains 22 as substring.

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 = 1011102120096 and 1011102120105.

It is a congruent number.

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, 102749361 + ... + 102759200.

Almost surely, 2^{1011102120120} is an apocalyptic number.

1011102120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011102120120 is an abundant number, since it is smaller than the sum of its proper divisors (2096187337320).

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

1011102120120 is a wasteful number, since it uses less digits than its factorization.

1011102120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205508616 (or 205508612 counting only the distinct ones).

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

Adding to 1011102120120 its reverse (210212011101), we get a palindrome (1221314131221).

The spelling of 1011102120120 in words is "one trillion, eleven billion, one hundred two million, one hundred twenty thousand, one hundred twenty".