101002120200012 has 24 divisors (see below), whose sum is σ = 249534649906416. Its totient is φ = 31686939670528.

The previous prime is 101002120200001. The next prime is 101002120200017. The reversal of 101002120200012 is 210002021200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101002120200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247554215973 + ... + 247554216380.

It is an arithmetic number, because the mean of its divisors is an integer number (10397277079434).

Almost surely, 2^{101002120200012} is an apocalyptic number.

101002120200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002120200012 is an abundant number, since it is smaller than the sum of its proper divisors (148532529706404).

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

101002120200012 is a wasteful number, since it uses less digits than its factorization.

101002120200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495108432377 (or 495108432375 counting only the distinct ones).

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

Adding to 101002120200012 its reverse (210002021200101), we get a palindrome (311004141400113).

The spelling of 101002120200012 in words is "one hundred one trillion, two billion, one hundred twenty million, two hundred thousand, twelve".