102012002100 has 72 divisors (see below), whose sum is σ = 327949704320. Its totient is φ = 27203199840.

The previous prime is 102012002077. The next prime is 102012002101. The reversal of 102012002100 is 1200210201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18888412 + ... + 18893811.

Almost surely, 2^102012002100 is an apocalyptic number.

102012002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012002100 is an abundant number, since it is smaller than the sum of its proper divisors (225937702220).

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

102012002100 is a wasteful number, since it uses less digits than its factorization.

102012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37782246 (or 37782233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012002100 its reverse (1200210201), we get a palindrome (103212212301).

The spelling of 102012002100 in words is "one hundred two billion, twelve million, two thousand, one hundred".