211251101152112 has 160 divisors (see below), whose sum is σ = 482154832972800. Its totient is φ = 89618906092800.

The previous prime is 211251101152103. The next prime is 211251101152141.

211251101152112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2507002493 + ... + 2507086755.

It is an arithmetic number, because the mean of its divisors is an integer number (3013467706080).

Almost surely, 2^{211251101152112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211251101152112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241077416486400).

211251101152112 is an abundant number, since it is smaller than the sum of its proper divisors (270903731820688).

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

211251101152112 is a wasteful number, since it uses less digits than its factorization.

211251101152112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88916 (or 88896 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 26.

It can be divided in two parts, 21125110 and 1152112, that added together give a palindrome (22277222).

The spelling of 211251101152112 in words is "two hundred eleven trillion, two hundred fifty-one billion, one hundred one million, one hundred fifty-two thousand, one hundred twelve".