1000202022100 has 36 divisors (see below), whose sum is σ = 2245281097500. Its totient is φ = 386284917760.

The previous prime is 1000202022059. The next prime is 1000202022103. The reversal of 1000202022100 is 12202020001.

It can be written as a sum of positive squares in 6 ways, for example, as 46598993424 + 953603028676 = 215868^2 + 976526^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000202022103) 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, 172445725 + ... + 172451524.

It is an arithmetic number, because the mean of its divisors is an integer number (62368919375).

Almost surely, 2^{1000202022100} is an apocalyptic number.

1000202022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202022100 is an abundant number, since it is smaller than the sum of its proper divisors (1245079075400).

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

1000202022100 is a wasteful number, since it uses less digits than its factorization.

1000202022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344897292 (or 344897285 counting only the distinct ones).

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

Adding to 1000202022100 its reverse (12202020001), we get a palindrome (1012404042101).

The spelling of 1000202022100 in words is "one trillion, two hundred two million, twenty-two thousand, one hundred".