102101100012 has 36 divisors (see below), whose sum is σ = 264383746536. Its totient is φ = 33203609280.

The previous prime is 102101100007. The next prime is 102101100029. The reversal of 102101100012 is 210001101201.

It is a happy number.

102101100012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102101099967 and 102101100003.

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, 34585618 + ... + 34588569.

Almost surely, 2^102101100012 is an apocalyptic number.

102101100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101100012 is an abundant number, since it is smaller than the sum of its proper divisors (162282646524).

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

102101100012 is a wasteful number, since it uses less digits than its factorization.

102101100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69174238 (or 69174233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101100012 its reverse (210001101201), we get a palindrome (312102201213).

The spelling of 102101100012 in words is "one hundred two billion, one hundred one million, one hundred thousand, twelve".