211012100992 has 192 divisors, whose sum is σ = 542515968000. Its totient is φ = 80817515520.

The previous prime is 211012100989. The next prime is 211012101073. The reversal of 211012100992 is 299001210112.

It is a super-2 number, since 2×211012100992² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 211012100992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4044609 + ... + 4096447.

It is an arithmetic number, because the mean of its divisors is an integer number (2825604000).

Almost surely, 2^211012100992 is an apocalyptic number.

211012100992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271257984000).

211012100992 is an abundant number, since it is smaller than the sum of its proper divisors (331503867008).

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

211012100992 is a wasteful number, since it uses less digits than its factorization.

211012100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51937 (or 51918 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 211012100992 in words is "two hundred eleven billion, twelve million, one hundred thousand, nine hundred ninety-two".