211100121001112 has 64 divisors (see below), whose sum is σ = 482622895434240. Its totient is φ = 84499631424000.

The previous prime is 211100121001103. The next prime is 211100121001139.

211100121001112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211100121001112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 846225764 + ... + 846475187.

It is an arithmetic number, because the mean of its divisors is an integer number (7540982741160).

Almost surely, 2^{211100121001112} is an apocalyptic number.

It is an amenable number.

211100121001112 is an abundant number, since it is smaller than the sum of its proper divisors (271522774433128).

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

211100121001112 is a wasteful number, since it uses less digits than its factorization.

211100121001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692701112 (or 1692701108 counting only the distinct ones).

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

The spelling of 211100121001112 in words is "two hundred eleven trillion, one hundred billion, one hundred twenty-one million, one thousand, one hundred twelve".