211011101002112 has 32 divisors (see below), whose sum is σ = 438650794208880. Its totient is φ = 100918352651776.

The previous prime is 211011101002027. The next prime is 211011101002127. The reversal of 211011101002112 is 211200101110112.

211011101002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×211011101002112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35837480243 + ... + 35837486130.

Almost surely, 2^{211011101002112} is an apocalyptic number.

It is an amenable number.

211011101002112 is an abundant number, since it is smaller than the sum of its proper divisors (227639693206768).

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

211011101002112 is an equidigital number, since it uses as much as digits as its factorization.

211011101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71674966410 (or 71674966398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011101002112 its reverse (211200101110112), we get a palindrome (422211202112224).

The spelling of 211011101002112 in words is "two hundred eleven trillion, eleven billion, one hundred one million, two thousand, one hundred twelve".