211012101302100 has 144 divisors (see below), whose sum is σ = 698058608972928. Its totient is φ = 48209775644160.

The previous prime is 211012101302087. The next prime is 211012101302239. The reversal of 211012101302100 is 1203101210112.

It is a super-2 number, since 2×211012101302100² (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 211012101302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17761387 + ... + 27156786.

Almost surely, 2^{211012101302100} is an apocalyptic number.

211012101302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012101302100 is an abundant number, since it is smaller than the sum of its proper divisors (487046507670828).

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

211012101302100 is a wasteful number, since it uses less digits than its factorization.

211012101302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44920434 (or 44920427 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211012101302100 its reverse (1203101210112), we get a palindrome (212215202512212).

The spelling of 211012101302100 in words is "two hundred eleven trillion, twelve billion, one hundred one million, three hundred two thousand, one hundred".