102100020012 has 36 divisors (see below), whose sum is σ = 258254874696. Its totient is φ = 34011092160.

The previous prime is 102100019977. The next prime is 102100020017. The reversal of 102100020012 is 210020001201.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 102100019976 and 102100020003.

It is not an unprimeable number, because it can be changed into a prime (102100020017) 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 11 ways as a sum of consecutive naturals, for example, 871113 + ... + 981344.

Almost surely, 2^102100020012 is an apocalyptic number.

102100020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100020012 is an abundant number, since it is smaller than the sum of its proper divisors (156154854684).

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

102100020012 is a wasteful number, since it uses less digits than its factorization.

102100020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853998 (or 1853993 counting only the distinct ones).

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

Adding to 102100020012 its reverse (210020001201), we get a palindrome (312120021213).

The spelling of 102100020012 in words is "one hundred two billion, one hundred million, twenty thousand, twelve".