211110011202112 has 112 divisors (see below), whose sum is σ = 461792393314560. Its totient is φ = 94958407641600.

The previous prime is 211110011202049. The next prime is 211110011202161. The reversal of 211110011202112 is 211202110011112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26528187 + ... + 33555397.

It is an arithmetic number, because the mean of its divisors is an integer number (4123146368880).

Almost surely, 2^{211110011202112} is an apocalyptic number.

211110011202112 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 211110011202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230896196657280).

211110011202112 is an abundant number, since it is smaller than the sum of its proper divisors (250682382112448).

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

211110011202112 is a wasteful number, since it uses less digits than its factorization.

211110011202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027680 (or 7027670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211110011202112 its reverse (211202110011112), we get a palindrome (422312121213224).

The spelling of 211110011202112 in words is "two hundred eleven trillion, one hundred ten billion, eleven million, two hundred two thousand, one hundred twelve".