101122211101221 has 64 divisors (see below), whose sum is σ = 151705967616000. Its totient is φ = 66568349232000.

The previous prime is 101122211101211. The next prime is 101122211101231. The reversal of 101122211101221 is 122101112221101.

It is a happy number.

101122211101221 is a `hidden beast` number, since 1 + 0 + 112 + 221 + 110 + 1 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (101122211101211) and next prime (101122211101231).

It is not a de Polignac number, because 101122211101221 - 2¹⁴ = 101122211084837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101122211101194 and 101122211101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211101201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566101321 + ... + 566279921.

It is an arithmetic number, because the mean of its divisors is an integer number (2370405744000).

Almost surely, 2^{101122211101221} is an apocalyptic number.

It is an amenable number.

101122211101221 is a deficient number, since it is larger than the sum of its proper divisors (50583756514779).

101122211101221 is a wasteful number, since it uses less digits than its factorization.

101122211101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179607 (or 179601 counting only the distinct ones).

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

Adding to 101122211101221 its reverse (122101112221101), we get a palindrome (223223323322322).

The spelling of 101122211101221 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred one thousand, two hundred twenty-one".