221112122100 has 144 divisors (see below), whose sum is σ = 678237590016. Its totient is φ = 55518912000.

The previous prime is 221112122087. The next prime is 221112122113. The reversal of 221112122100 is 1221211122.

It is an interprime number because it is at equal distance from previous prime (221112122087) and next prime (221112122113).

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 221112122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22810 + ... + 665390.

It is an arithmetic number, because the mean of its divisors is an integer number (4709983264).

Almost surely, 2^221112122100 is an apocalyptic number.

221112122100 is a gapful number since it is divisible by the number (20) 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 221112122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339118795008).

221112122100 is an abundant number, since it is smaller than the sum of its proper divisors (457125467916).

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

221112122100 is a wasteful number, since it uses less digits than its factorization.

221112122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642666 (or 642659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221112122100 its reverse (1221211122), we get a palindrome (222333333222).

The spelling of 221112122100 in words is "two hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".