102112002101100 has 36 divisors (see below), whose sum is σ = 295444059413384. Its totient is φ = 27229867226880.

The previous prime is 102112002101029. The next prime is 102112002101143. The reversal of 102112002101100 is 1101200211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170186669869 + ... + 170186670468.

Almost surely, 2^{102112002101100} is an apocalyptic number.

102112002101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112002101100 is an abundant number, since it is smaller than the sum of its proper divisors (193332057312284).

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

102112002101100 is a wasteful number, since it uses less digits than its factorization.

102112002101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340373340354 (or 340373340347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112002101100 its reverse (1101200211201), we get a palindrome (103213202312301).

The spelling of 102112002101100 in words is "one hundred two trillion, one hundred twelve billion, two million, one hundred one thousand, one hundred".