101022000202000 has 80 divisors (see below), whose sum is σ = 244276047533232. Its totient is φ = 40407997593600.

The previous prime is 101022000201959. The next prime is 101022000202033. The reversal of 101022000202000 is 202000220101.

It can be written as a sum of positive squares in 8 ways, for example, as 41838335681536 + 59183664520464 = 6468256^2 + 7693092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105871032 + ... + 106820968.

Almost surely, 2^{101022000202000} is an apocalyptic number.

101022000202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022000202000 is an abundant number, since it is smaller than the sum of its proper divisors (143254047331232).

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

101022000202000 is an equidigital number, since it uses as much as digits as its factorization.

101022000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003133 (or 1003117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 101022000202000 its reverse (202000220101), we get a palindrome (101224000422101).

The spelling of 101022000202000 in words is "one hundred one trillion, twenty-two billion, two hundred two thousand".