211121200101100 has 72 divisors (see below), whose sum is σ = 458538627462048. Its totient is φ = 84373719360000.

The previous prime is 211121200101061. The next prime is 211121200101209. The reversal of 211121200101100 is 1101002121112.

It is a happy number.

It is a super-2 number, since 2×211121200101100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2461983225 + ... + 2462068975.

It is an arithmetic number, because the mean of its divisors is an integer number (6368592048084).

Almost surely, 2^{211121200101100} is an apocalyptic number.

211121200101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121200101100 is an abundant number, since it is smaller than the sum of its proper divisors (247417427360948).

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

211121200101100 is a wasteful number, since it uses less digits than its factorization.

211121200101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107275 (or 107268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121200101100 its reverse (1101002121112), we get a palindrome (212222202222212).

The spelling of 211121200101100 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred million, one hundred one thousand, one hundred".