10120211100200 has 48 divisors (see below), whose sum is σ = 23530714367580. Its totient is φ = 4047873935360.

The previous prime is 10120211100199. The next prime is 10120211100221. The reversal of 10120211100200 is 200111202101.

It can be written as a sum of positive squares in 6 ways, for example, as 4702591754116 + 5417619346084 = 2168546^2 + 2327578^2 .

It is a super-2 number, since 2×10120211100200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2568632 + ... + 5180568.

Almost surely, 2^{10120211100200} is an apocalyptic number.

10120211100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120211100200 is an abundant number, since it is smaller than the sum of its proper divisors (13410503267380).

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

10120211100200 is a wasteful number, since it uses less digits than its factorization.

10120211100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631326 (or 2631317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120211100200 its reverse (200111202101), we get a palindrome (10320322302301).

The spelling of 10120211100200 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, one hundred thousand, two hundred".