10202122001100 has 72 divisors (see below), whose sum is σ = 29750566064128. Its totient is φ = 2699144078400.

The previous prime is 10202122001083. The next prime is 10202122001111. The reversal of 10202122001100 is 110022120201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133848016 + ... + 133924215.

Almost surely, 2^{10202122001100} is an apocalyptic number.

10202122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122001100 is an abundant number, since it is smaller than the sum of its proper divisors (19548444063028).

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

10202122001100 is a wasteful number, since it uses less digits than its factorization.

10202122001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267772375 (or 267772368 counting only the distinct ones).

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

Adding to 10202122001100 its reverse (110022120201), we get a palindrome (10312144121301).

The spelling of 10202122001100 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one thousand, one hundred".