102010101120012 has 12 divisors (see below), whose sum is σ = 238023569280056. Its totient is φ = 34003367040000.

The previous prime is 102010101119947. The next prime is 102010101120019. The reversal of 102010101120012 is 210021101010201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8500841760001 = 102010101120012 / (1 + 0 + 2 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 2 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 102010101120012.

It is not an unprimeable number, because it can be changed into a prime (102010101120019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4250420879989 + ... + 4250420880012.

Almost surely, 2^{102010101120012} is an apocalyptic number.

102010101120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010101120012 is an abundant number, since it is smaller than the sum of its proper divisors (136013468160044).

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

102010101120012 is a wasteful number, since it uses less digits than its factorization.

102010101120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500841760008 (or 8500841760006 counting only the distinct ones).

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

Adding to 102010101120012 its reverse (210021101010201), we get a palindrome (312031202130213).

The spelling of 102010101120012 in words is "one hundred two trillion, ten billion, one hundred one million, one hundred twenty thousand, twelve".