102200022102220 has 72 divisors (see below), whose sum is σ = 258269021443440. Its totient is φ = 33831731445120.

The previous prime is 102200022102173. The next prime is 102200022102247. The reversal of 102200022102220 is 22201220002201.

102200022102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102200022102194 and 102200022102203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1798001526 + ... + 1798058365.

It is an arithmetic number, because the mean of its divisors is an integer number (3587069742270).

Almost surely, 2^{102200022102220} is an apocalyptic number.

102200022102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200022102220 is an abundant number, since it is smaller than the sum of its proper divisors (156068999341220).

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

102200022102220 is a wasteful number, since it uses less digits than its factorization.

102200022102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596059943 (or 3596059934 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102200022102220 its reverse (22201220002201), we get a palindrome (124401242104421).

The spelling of 102200022102220 in words is "one hundred two trillion, two hundred billion, twenty-two million, one hundred two thousand, two hundred twenty".