101002020012 has 48 divisors (see below), whose sum is σ = 265765422720. Its totient is φ = 33164840016.

The previous prime is 101002020011. The next prime is 101002020017. The reversal of 101002020012 is 210020200101.

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 = 101002019976 and 101002020003.

It is not an unprimeable number, because it can be changed into a prime (101002020011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6971898 + ... + 6986369.

It is an arithmetic number, because the mean of its divisors is an integer number (5536779640).

Almost surely, 2^101002020012 is an apocalyptic number.

101002020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002020012 is an abundant number, since it is smaller than the sum of its proper divisors (164763402708).

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

101002020012 is a wasteful number, since it uses less digits than its factorization.

101002020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13958347 (or 13958339 counting only the distinct ones).

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

Adding to 101002020012 its reverse (210020200101), we get a palindrome (311022220113).

The spelling of 101002020012 in words is "one hundred one billion, two million, twenty thousand, twelve".