101002202000200 has 48 divisors (see below), whose sum is σ = 234863063086500. Its totient is φ = 40395213112320.

The previous prime is 101002202000197. The next prime is 101002202000269. The reversal of 101002202000200 is 2000202200101.

It can be written as a sum of positive squares in 6 ways, for example, as 60297368159044 + 40704833841156 = 7765138^2 + 6380034^2 .

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 11 ways as a sum of consecutive naturals, for example, 33993685 + ... + 36845284.

Almost surely, 2^{101002202000200} is an apocalyptic number.

101002202000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002202000200 is an abundant number, since it is smaller than the sum of its proper divisors (133860861086300).

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

101002202000200 is a wasteful number, since it uses less digits than its factorization.

101002202000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70846114 (or 70846105 counting only the distinct ones).

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

Adding to 101002202000200 its reverse (2000202200101), we get a palindrome (103002404200301).

It can be divided in two parts, 101002 and 202000200, that added together give a palindrome (202101202).

The spelling of 101002202000200 in words is "one hundred one trillion, two billion, two hundred two million, two hundred", and thus it is an aban number.