10200100211100 has 90 divisors (see below), whose sum is σ = 33064695241424. Its totient is φ = 2720026720800.

The previous prime is 10200100211047. The next prime is 10200100211117. The reversal of 10200100211100 is 111200100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 629627716 + ... + 629643915.

Almost surely, 2^{10200100211100} is an apocalyptic number.

10200100211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200100211100 is an abundant number, since it is smaller than the sum of its proper divisors (22864595030324).

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

10200100211100 is a wasteful number, since it uses less digits than its factorization.

10200100211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259271657 (or 1259271641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200100211100 its reverse (111200100201), we get a palindrome (10311300311301).

The spelling of 10200100211100 in words is "ten trillion, two hundred billion, one hundred million, two hundred eleven thousand, one hundred".