102112122101002 has 48 divisors (see below), whose sum is σ = 177192886371480. Its totient is φ = 43858010161152.

The previous prime is 102112122100949. The next prime is 102112122101063. The reversal of 102112122101002 is 200101221211201.

It can be written as a sum of positive squares in 12 ways, for example, as 2096301475321 + 100015820625681 = 1447861^2 + 10000791^2 .

It is a super-2 number, since 2×102112122101002² (a number of 29 digits) contains 22 as substring.

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, 75677223 + ... + 77014714.

Almost surely, 2^{102112122101002} is an apocalyptic number.

102112122101002 is a deficient number, since it is larger than the sum of its proper divisors (75080764270478).

102112122101002 is a wasteful number, since it uses less digits than its factorization.

102112122101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152692075 (or 152692058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112122101002 its reverse (200101221211201), we get a palindrome (302213343312203).

The spelling of 102112122101002 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two".