2112211031100 has 72 divisors (see below), whose sum is σ = 6111498057840. Its totient is φ = 563240839680.

The previous prime is 2112211031093. The next prime is 2112211031107. The reversal of 2112211031100 is 11301122112.

It is an interprime number because it is at equal distance from previous prime (2112211031093) and next prime (2112211031107).

It is a super-2 number, since 2×2112211031100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112211031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211031107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14588664 + ... + 14732736.

It is an arithmetic number, because the mean of its divisors is an integer number (84881917470).

Almost surely, 2^{2112211031100} is an apocalyptic number.

2112211031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112211031100 is an abundant number, since it is smaller than the sum of its proper divisors (3999287026740).

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

2112211031100 is a wasteful number, since it uses less digits than its factorization.

2112211031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192959 (or 192952 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2112211031100 its reverse (11301122112), we get a palindrome (2123512153212).

The spelling of 2112211031100 in words is "two trillion, one hundred twelve billion, two hundred eleven million, thirty-one thousand, one hundred".