102120102202000 has 80 divisors (see below), whose sum is σ = 246938296580352. Its totient is φ = 40846074057600.

The previous prime is 102120102201973. The next prime is 102120102202007. The reversal of 102120102202000 is 202201021201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102120102202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40675209 + ... + 43112791.

Almost surely, 2^{102120102202000} is an apocalyptic number.

102120102202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120102202000 is an abundant number, since it is smaller than the sum of its proper divisors (144818194378352).

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

102120102202000 is a wasteful number, since it uses less digits than its factorization.

102120102202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458553 (or 2458537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102120102202000 its reverse (202201021201), we get a palindrome (102322303223201).

The spelling of 102120102202000 in words is "one hundred two trillion, one hundred twenty billion, one hundred two million, two hundred two thousand".