102111012212200 has 48 divisors (see below), whose sum is σ = 237478741107660. Its totient is φ = 40832252160000.

The previous prime is 102111012212161. The next prime is 102111012212239. The reversal of 102111012212200 is 2212210111201.

It is an interprime number because it is at equal distance from previous prime (102111012212161) and next prime (102111012212239).

It can be written as a sum of positive squares in 6 ways, for example, as 22024943569476 + 80086068642724 = 4693074^2 + 8949082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75280651 + ... + 76625050.

Almost surely, 2^{102111012212200} is an apocalyptic number.

102111012212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111012212200 is an abundant number, since it is smaller than the sum of its proper divisors (135367728895460).

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

102111012212200 is a wasteful number, since it uses less digits than its factorization.

102111012212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151909078 (or 151909069 counting only the distinct ones).

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

Adding to 102111012212200 its reverse (2212210111201), we get a palindrome (104323222323401).

The spelling of 102111012212200 in words is "one hundred two trillion, one hundred eleven billion, twelve million, two hundred twelve thousand, two hundred".