2100211100100 has 90 divisors (see below), whose sum is σ = 6808054699754. Its totient is φ = 560056291200.

The previous prime is 2100211100077. The next prime is 2100211100111. The reversal of 2100211100100 is 10011120012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 33241311684 + 2066969788416 = 182322^2 + 1437696^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129634561 + ... + 129650760.

Almost surely, 2^{2100211100100} is an apocalyptic number.

2100211100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100211100100 is an abundant number, since it is smaller than the sum of its proper divisors (4707843599654).

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

2100211100100 is a wasteful number, since it uses less digits than its factorization.

2100211100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259285347 (or 259285331 counting only the distinct ones).

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

Adding to 2100211100100 its reverse (10011120012), we get a palindrome (2110222220112).

The spelling of 2100211100100 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred thousand, one hundred".