211010120100 has 108 divisors (see below), whose sum is σ = 712276422676. Its totient is φ = 51940949760.

The previous prime is 211010120047. The next prime is 211010120149. The reversal of 211010120100 is 1021010112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43820723556 + 167189396544 = 209334^2 + 408888^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9005827 + ... + 9029226.

Almost surely, 2^211010120100 is an apocalyptic number.

211010120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010120100 is an abundant number, since it is smaller than the sum of its proper divisors (501266302576).

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

211010120100 is a wasteful number, since it uses less digits than its factorization.

211010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18035086 (or 18035076 counting only the distinct ones).

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

Adding to 211010120100 its reverse (1021010112), we get a palindrome (212031130212).

The spelling of 211010120100 in words is "two hundred eleven billion, ten million, one hundred twenty thousand, one hundred".