101202120000012 has 12 divisors (see below), whose sum is σ = 236138280000056. Its totient is φ = 33734040000000.

The previous prime is 101202119999987. The next prime is 101202120000031. The reversal of 101202120000012 is 210000021202101.

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

It is a super-4 number, since 4×101202120000012⁴ (a number of 57 digits) contains 4444 as substring.

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: 8433510000001 = 101202120000012 / (1 + 0 + 1 + 2 + 0 + 2 + 1 + 2 + 0 + 0 + 0 + 0 + 0 + 1 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4216754999989 + ... + 4216755000012.

Almost surely, 2^{101202120000012} is an apocalyptic number.

101202120000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202120000012 is an abundant number, since it is smaller than the sum of its proper divisors (134936160000044).

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

101202120000012 is a wasteful number, since it uses less digits than its factorization.

101202120000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433510000008 (or 8433510000006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101202120000012 its reverse (210000021202101), we get a palindrome (311202141202113).

The spelling of 101202120000012 in words is "one hundred one trillion, two hundred two billion, one hundred twenty million, twelve", and thus it is an aban number.