221101202101122 has 24 divisors (see below), whose sum is σ = 547488690917376. Its totient is φ = 63171772028856.

The previous prime is 221101202101061. The next prime is 221101202101127.

221101202101122 is a `hidden beast` number, since 2 + 211 + 0 + 120 + 210 + 1 + 122 = 666.

221101202101122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221101202101122² (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 = 221101202101095 and 221101202101104.

It is not an unprimeable number, because it can be changed into a prime (221101202101127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877385722498 + ... + 877385722749.

It is an arithmetic number, because the mean of its divisors is an integer number (22812028788224).

Almost surely, 2^{221101202101122} is an apocalyptic number.

221101202101122 is an abundant number, since it is smaller than the sum of its proper divisors (326387488816254).

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

221101202101122 is a wasteful number, since it uses less digits than its factorization.

221101202101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754771445262 (or 1754771445259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 22110120 and 2101122, that added together give a palindrome (24211242).

The spelling of 221101202101122 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred two million, one hundred one thousand, one hundred twenty-two".