101002002000012 has 36 divisors (see below), whose sum is σ = 255375366872080. Its totient is φ = 33658795445472.

The previous prime is 101002001999953. The next prime is 101002002000013. The reversal of 101002002000012 is 210000200200101.

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 = 101002001999958 and 101002002000003.

It is not an unprimeable number, because it can be changed into a prime (101002002000013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355629187 + ... + 355913082.

Almost surely, 2^{101002002000012} is an apocalyptic number.

101002002000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002002000012 is an abundant number, since it is smaller than the sum of its proper divisors (154373364872068).

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

101002002000012 is a wasteful number, since it uses less digits than its factorization.

101002002000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711546222 (or 711546217 counting only the distinct ones).

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

Adding to 101002002000012 its reverse (210000200200101), we get a palindrome (311002202200113).

The spelling of 101002002000012 in words is "one hundred one trillion, two billion, two million, twelve", and thus it is an aban number.