221112012102100 has 288 divisors, whose sum is σ = 560917314272000. Its totient is φ = 75624627456000.

The previous prime is 221112012102067. The next prime is 221112012102127. The reversal of 221112012102100 is 1201210211122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32549976304 + ... + 32549983096.

Almost surely, 2^{221112012102100} is an apocalyptic number.

221112012102100 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 221112012102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280458657136000).

221112012102100 is an abundant number, since it is smaller than the sum of its proper divisors (339805302169900).

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

221112012102100 is a wasteful number, since it uses less digits than its factorization.

221112012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221112012102100 its reverse (1201210211122), we get a palindrome (222313222313222).

The spelling of 221112012102100 in words is "two hundred twenty-one trillion, one hundred twelve billion, twelve million, one hundred two thousand, one hundred".