221112101101122 has 48 divisors (see below), whose sum is σ = 597289831549632. Its totient is φ = 57431714571360.

The previous prime is 221112101101079. The next prime is 221112101101193. The reversal of 221112101101122 is 221101101211122.

It is a happy number.

221112101101122 is a `hidden beast` number, since 221 + 1 + 1 + 210 + 110 + 1 + 122 = 666.

221112101101122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221112101101122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221112101101095 and 221112101101104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79766268853 + ... + 79766271624.

It is an arithmetic number, because the mean of its divisors is an integer number (12443538157284).

Almost surely, 2^{221112101101122} is an apocalyptic number.

221112101101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221112101101122 is an abundant number, since it is smaller than the sum of its proper divisors (376177730448510).

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

221112101101122 is a wasteful number, since it uses less digits than its factorization.

221112101101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159532540503 (or 159532540500 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221112101101122 its reverse (221101101211122), we get a palindrome (442213202312244).

The spelling of 221112101101122 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, one hundred twenty-two".