211211110120100 has 36 divisors (see below), whose sum is σ = 462866011051668. Its totient is φ = 83647964400000.

The previous prime is 211211110120039. The next prime is 211211110120103. The reversal of 211211110120100 is 1021011112112.

It can be written as a sum of positive squares in 6 ways, for example, as 3149006407936 + 208062103712164 = 1774544^2 + 14424358^2 .

It is a super-2 number, since 2×211211110120100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211110120103) 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, 10455985451 + ... + 10456005650.

Almost surely, 2^{211211110120100} is an apocalyptic number.

211211110120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211110120100 is an abundant number, since it is smaller than the sum of its proper divisors (251654900931568).

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

211211110120100 is a wasteful number, since it uses less digits than its factorization.

211211110120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20911991216 (or 20911991209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211211110120100 its reverse (1021011112112), we get a palindrome (212232121232212).

The spelling of 211211110120100 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred ten million, one hundred twenty thousand, one hundred".