211121120212100 has 72 divisors (see below), whose sum is σ = 551137240167360. Its totient is φ = 68574679643520.

The previous prime is 211121120212091. The next prime is 211121120212109. The reversal of 211121120212100 is 1212021121112.

It is an interprime number because it is at equal distance from previous prime (211121120212091) and next prime (211121120212109).

It is a super-2 number, since 2×211121120212100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121120212109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7936870919 + ... + 7936897518.

Almost surely, 2^{211121120212100} is an apocalyptic number.

211121120212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121120212100 is an abundant number, since it is smaller than the sum of its proper divisors (340016119955260).

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

211121120212100 is a wasteful number, since it uses less digits than its factorization.

211121120212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15873768477 (or 15873768470 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211121120212100 its reverse (1212021121112), we get a palindrome (212333141333212).

The spelling of 211121120212100 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred".