102022002200000 has 84 divisors (see below), whose sum is σ = 253046192772744. Its totient is φ = 40808800800000.

The previous prime is 102022002199981. The next prime is 102022002200033. The reversal of 102022002200000 is 2200220201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254855006 + ... + 255255005.

It is an arithmetic number, because the mean of its divisors is an integer number (3012454675866).

Almost surely, 2^{102022002200000} is an apocalyptic number.

102022002200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022002200000 is an abundant number, since it is smaller than the sum of its proper divisors (151024190572744).

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

102022002200000 is an frugal number, since it uses more digits than its factorization.

102022002200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510110048 (or 510110018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102022002200000 its reverse (2200220201), we get a palindrome (102024202420201).

The spelling of 102022002200000 in words is "one hundred two trillion, twenty-two billion, two million, two hundred thousand".