10202112202100 has 144 divisors (see below), whose sum is σ = 27455486653056. Its totient is φ = 3204152640000.

The previous prime is 10202112202091. The next prime is 10202112202133. The reversal of 10202112202100 is 120221120201.

It is a super-2 number, since 2×10202112202100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3086951 + ... + 5471150.

Almost surely, 2^{10202112202100} is an apocalyptic number.

10202112202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202112202100 is an abundant number, since it is smaller than the sum of its proper divisors (17253374450956).

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

10202112202100 is a wasteful number, since it uses less digits than its factorization.

10202112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558266 (or 8558259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202112202100 its reverse (120221120201), we get a palindrome (10322333322301).

The spelling of 10202112202100 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred".