102212010211120 has 80 divisors (see below), whose sum is σ = 241189609439520. Its totient is φ = 40275976108032.

The previous prime is 102212010211049. The next prime is 102212010211123. The reversal of 102212010211120 is 21112010212201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102212010211094 and 102212010211103.

It is not an unprimeable number, because it can be changed into a prime (102212010211123) 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, 5751975 + ... + 15411334.

It is an arithmetic number, because the mean of its divisors is an integer number (3014870117994).

Almost surely, 2^{102212010211120} is an apocalyptic number.

102212010211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212010211120 is an abundant number, since it is smaller than the sum of its proper divisors (138977599228400).

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

102212010211120 is a wasteful number, since it uses less digits than its factorization.

102212010211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21164222 (or 21164216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212010211120 its reverse (21112010212201), we get a palindrome (123324020423321).

The spelling of 102212010211120 in words is "one hundred two trillion, two hundred twelve billion, ten million, two hundred eleven thousand, one hundred twenty".