101111021002120 has 64 divisors (see below), whose sum is σ = 231376593312000. Its totient is φ = 39755323872768.

The previous prime is 101111021002081. The next prime is 101111021002169. The reversal of 101111021002120 is 21200120111101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111021002120.

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, 24314244 + ... + 28167436.

It is an arithmetic number, because the mean of its divisors is an integer number (3615259270500).

Almost surely, 2^{101111021002120} is an apocalyptic number.

101111021002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111021002120 is an abundant number, since it is smaller than the sum of its proper divisors (130265572309880).

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

101111021002120 is a wasteful number, since it uses less digits than its factorization.

101111021002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864382 (or 3864378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101111021002120 its reverse (21200120111101), we get a palindrome (122311141113221).

The spelling of 101111021002120 in words is "one hundred one trillion, one hundred eleven billion, twenty-one million, two thousand, one hundred twenty".