222101120102121 has 96 divisors (see below), whose sum is σ = 375856205725728. Its totient is φ = 125109172961280.

The previous prime is 222101120102117. The next prime is 222101120102123. The reversal of 222101120102121 is 121201021101222.

222101120102121 is a `hidden beast` number, since 222 + 101 + 120 + 10 + 212 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7576470946521 + 214524649155600 = 2752539^2 + 14646660^2 .

It is not a de Polignac number, because 222101120102121 - 2² = 222101120102117 is a prime.

It is a super-2 number, since 2×222101120102121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222101120102094 and 222101120102103.

It is not an unprimeable number, because it can be changed into a prime (222101120102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177249961 + ... + 178498601.

It is an arithmetic number, because the mean of its divisors is an integer number (3915168809643).

Almost surely, 2^{222101120102121} is an apocalyptic number.

It is an amenable number.

222101120102121 is a deficient number, since it is larger than the sum of its proper divisors (153755085623607).

222101120102121 is a wasteful number, since it uses less digits than its factorization.

222101120102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251131 (or 1251128 counting only the distinct ones).

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

Adding to 222101120102121 its reverse (121201021101222), we get a palindrome (343302141203343).

The spelling of 222101120102121 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred two thousand, one hundred twenty-one".