102012221011120 has 80 divisors (see below), whose sum is σ = 271066272933888. Its totient is φ = 34974943983360.

The previous prime is 102012221011097. The next prime is 102012221011157. The reversal of 102012221011120 is 21110122210201.

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 = 102012221011094 and 102012221011103.

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, 27742777 + ... + 31203943.

Almost surely, 2^{102012221011120} is an apocalyptic number.

102012221011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012221011120 is an abundant number, since it is smaller than the sum of its proper divisors (169054051922768).

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

102012221011120 is a wasteful number, since it uses less digits than its factorization.

102012221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513818 (or 3513812 counting only the distinct ones).

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

Adding to 102012221011120 its reverse (21110122210201), we get a palindrome (123122343221321).

The spelling of 102012221011120 in words is "one hundred two trillion, twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty".