211121111120100 has 36 divisors (see below), whose sum is σ = 610843748175024. Its totient is φ = 56298962965280.

The previous prime is 211121111120081. The next prime is 211121111120111. The reversal of 211121111120100 is 1021111121112.

It is a super-2 number, since 2×211121111120100² (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 211121111120100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351868518234 + ... + 351868518833.

Almost surely, 2^{211121111120100} is an apocalyptic number.

211121111120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121111120100 is an abundant number, since it is smaller than the sum of its proper divisors (399722637054924).

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

211121111120100 is a wasteful number, since it uses less digits than its factorization.

211121111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703737037084 (or 703737037077 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211121111120100 its reverse (1021111121112), we get a palindrome (212142222241212).

The spelling of 211121111120100 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty thousand, one hundred".