211012111022100 has 36 divisors (see below), whose sum is σ = 610528374558144. Its totient is φ = 56269896272480.

The previous prime is 211012111022087. The next prime is 211012111022107. The reversal of 211012111022100 is 1220111210112.

It is a happy number.

It is a super-2 number, since 2×211012111022100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211012111022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012111022107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351686851404 + ... + 351686852003.

It is an arithmetic number, because the mean of its divisors is an integer number (16959121515504).

Almost surely, 2^{211012111022100} is an apocalyptic number.

211012111022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012111022100 is an abundant number, since it is smaller than the sum of its proper divisors (399516263536044).

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

211012111022100 is a wasteful number, since it uses less digits than its factorization.

211012111022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703373703424 (or 703373703417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211012111022100 its reverse (1220111210112), we get a palindrome (212232222232212).

The spelling of 211012111022100 in words is "two hundred eleven trillion, twelve billion, one hundred eleven million, twenty-two thousand, one hundred".