211001020100112 has 240 divisors, whose sum is σ = 615408663574656. Its totient is φ = 62204374425600.

The previous prime is 211001020100053. The next prime is 211001020100147.

211001020100112 is nontrivially palindromic in base 10.

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

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, 2015027437 + ... + 2015132147.

Almost surely, 2^{211001020100112} is an apocalyptic number.

211001020100112 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 211001020100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307704331787328).

211001020100112 is an abundant number, since it is smaller than the sum of its proper divisors (404407643474544).

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

211001020100112 is a wasteful number, since it uses less digits than its factorization.

211001020100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114158 (or 114141 counting only the distinct ones).

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

The spelling of 211001020100112 in words is "two hundred eleven trillion, one billion, twenty million, one hundred thousand, one hundred twelve".