211211100102000 has 160 divisors (see below), whose sum is σ = 680954748963840. Its totient is φ = 56322119481600.

The previous prime is 211211100101957. The next prime is 211211100102007. The reversal of 211211100102000 is 201001112112.

It is a super-2 number, since 2×211211100102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211100102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472810749 + ... + 473257251.

It is an arithmetic number, because the mean of its divisors is an integer number (4255967181024).

Almost surely, 2^{211211100102000} is an apocalyptic number.

211211100102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211100102000 is an abundant number, since it is smaller than the sum of its proper divisors (469743648861840).

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

211211100102000 is a wasteful number, since it uses less digits than its factorization.

211211100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525368 (or 525352 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211211100102000 its reverse (201001112112), we get a palindrome (211412101214112).

The spelling of 211211100102000 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred million, one hundred two thousand".