101211222122001 has 12 divisors (see below), whose sum is σ = 146196274443700. Its totient is φ = 67473092573280.

The previous prime is 101211222121969. The next prime is 101211222122053. The reversal of 101211222122001 is 100221222112101.

101211222122001 is a `hidden beast` number, since 10 + 1 + 211 + 2 + 221 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65237137456401 + 35974084665600 = 8076951^2 + 5997840^2 .

It is not a de Polignac number, because 101211222122001 - 2⁵ = 101211222121969 is a prime.

It is a super-2 number, since 2×101211222122001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101211222122401) 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, 87351490 + ... + 88502571.

Almost surely, 2^{101211222122001} is an apocalyptic number.

It is an amenable number.

101211222122001 is a deficient number, since it is larger than the sum of its proper divisors (44985052321699).

101211222122001 is a wasteful number, since it uses less digits than its factorization.

101211222122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175918016 (or 175918013 counting only the distinct ones).

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

Adding to 101211222122001 its reverse (100221222112101), we get a palindrome (201432444234102).

The spelling of 101211222122001 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one".