102020222212100 has 18 divisors (see below), whose sum is σ = 221383882200474. Its totient is φ = 40808088884800.

The previous prime is 102020222212087. The next prime is 102020222212123. The reversal of 102020222212100 is 1212222020201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19365650012164 + 82654572199936 = 4400642^2 + 9091456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510101110961 + ... + 510101111160.

It is an arithmetic number, because the mean of its divisors is an integer number (12299104566693).

Almost surely, 2^{102020222212100} is an apocalyptic number.

102020222212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020222212100 is an abundant number, since it is smaller than the sum of its proper divisors (119363659988374).

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

102020222212100 is a wasteful number, since it uses less digits than its factorization.

102020222212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020202222135 (or 1020202222128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102020222212100 its reverse (1212222020201), we get a palindrome (103232444232301).

The spelling of 102020222212100 in words is "one hundred two trillion, twenty billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".