211122202100100 has 72 divisors (see below), whose sum is σ = 610852784877888. Its totient is φ = 56298711945600.

The previous prime is 211122202100093. The next prime is 211122202100119. The reversal of 211122202100100 is 1001202221112.

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 211122202100100.

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 23 ways as a sum of consecutive naturals, for example, 28323690 + ... + 34992510.

Almost surely, 2^{211122202100100} is an apocalyptic number.

211122202100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122202100100 is an abundant number, since it is smaller than the sum of its proper divisors (399730582777788).

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

211122202100100 is a wasteful number, since it uses less digits than its factorization.

211122202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774365 (or 6774358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211122202100100 its reverse (1001202221112), we get a palindrome (212123404321212).

The spelling of 211122202100100 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, one hundred".