102120010101120 has 256 divisors, whose sum is σ = 363357248474880. Its totient is φ = 24180636426240.

The previous prime is 102120010101017. The next prime is 102120010101181. The reversal of 102120010101120 is 21101010021201.

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 = 102120010101096 and 102120010101105.

It is a congruent number.

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, 55315419 + ... + 57131738.

It is an arithmetic number, because the mean of its divisors is an integer number (1419364251855).

Almost surely, 2^{102120010101120} is an apocalyptic number.

102120010101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120010101120 is an abundant number, since it is smaller than the sum of its proper divisors (261237238373760).

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

102120010101120 is a wasteful number, since it uses less digits than its factorization.

102120010101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112447233 (or 112447221 counting only the distinct ones).

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

Adding to 102120010101120 its reverse (21101010021201), we get a palindrome (123221020122321).

The spelling of 102120010101120 in words is "one hundred two trillion, one hundred twenty billion, ten million, one hundred one thousand, one hundred twenty".