102210020121120 has 96 divisors (see below), whose sum is σ = 321962958838080. Its totient is φ = 27255887232000.

The previous prime is 102210020121071. The next prime is 102210020121127. The reversal of 102210020121120 is 21121020012201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210020121120.

It is not an unprimeable number, because it can be changed into a prime (102210020121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219928995 + ... + 220393245.

It is an arithmetic number, because the mean of its divisors is an integer number (3353780821230).

Almost surely, 2^{102210020121120} is an apocalyptic number.

102210020121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210020121120 is an abundant number, since it is smaller than the sum of its proper divisors (219752938716960).

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

102210020121120 is a wasteful number, since it uses less digits than its factorization.

102210020121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922938 (or 922930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210020121120 its reverse (21121020012201), we get a palindrome (123331040133321).

The spelling of 102210020121120 in words is "one hundred two trillion, two hundred ten billion, twenty million, one hundred twenty-one thousand, one hundred twenty".