101111001210120 has 128 divisors (see below), whose sum is σ = 330965603786880. Its totient is φ = 24507545088000.

The previous prime is 101111001210113. The next prime is 101111001210133. The reversal of 101111001210120 is 21012100111101.

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 = 101111001210096 and 101111001210105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104160 + ... + 14263280.

It is an arithmetic number, because the mean of its divisors is an integer number (2585668779585).

Almost surely, 2^{101111001210120} is an apocalyptic number.

101111001210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111001210120 is an abundant number, since it is smaller than the sum of its proper divisors (229854602576760).

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

101111001210120 is a wasteful number, since it uses less digits than its factorization.

101111001210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164967 (or 13164963 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111001210120 its reverse (21012100111101), we get a palindrome (122123101321221).

The spelling of 101111001210120 in words is "one hundred one trillion, one hundred eleven billion, one million, two hundred ten thousand, one hundred twenty".