102112021202000 has 40 divisors (see below), whose sum is σ = 246906867271272. Its totient is φ = 40844808480000.

The previous prime is 102112021201999. The next prime is 102112021202111. The reversal of 102112021202000 is 202120211201.

It can be written as a sum of positive squares in 4 ways, for example, as 19965061459984 + 82146959742016 = 4468228^2 + 9063496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25528003301 + ... + 25528007300.

Almost surely, 2^{102112021202000} is an apocalyptic number.

102112021202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112021202000 is an abundant number, since it is smaller than the sum of its proper divisors (144794846069272).

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

102112021202000 is an equidigital number, since it uses as much as digits as its factorization.

102112021202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51056010624 (or 51056010608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102112021202000 its reverse (202120211201), we get a palindrome (102314141413201).

The spelling of 102112021202000 in words is "one hundred two trillion, one hundred twelve billion, twenty-one million, two hundred two thousand".