102011100012 has 18 divisors (see below), whose sum is σ = 257861391788. Its totient is φ = 34003699992.

The previous prime is 102011100011. The next prime is 102011100041. The reversal of 102011100012 is 210001110201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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 = 102011099967 and 102011100003.

It is not an unprimeable number, because it can be changed into a prime (102011100011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1416820798 + ... + 1416820869.

Almost surely, 2^102011100012 is an apocalyptic number.

102011100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011100012 is an abundant number, since it is smaller than the sum of its proper divisors (155850291776).

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

102011100012 is a wasteful number, since it uses less digits than its factorization.

102011100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833641677 (or 2833641672 counting only the distinct ones).

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

Adding to 102011100012 its reverse (210001110201), we get a palindrome (312012210213).

The spelling of 102011100012 in words is "one hundred two billion, eleven million, one hundred thousand, twelve".