101222322122001 has 32 divisors (see below), whose sum is σ = 138014538710400. Its totient is φ = 65969335710720.

The previous prime is 101222322121961. The next prime is 101222322122021. The reversal of 101222322122001 is 100221223222101.

It is not a de Polignac number, because 101222322122001 - 2⁶ = 101222322121937 is a prime.

It is a super-3 number, since 3×101222322122001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101222322122021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28570375 + ... + 31917251.

It is an arithmetic number, because the mean of its divisors is an integer number (4312954334700).

Almost surely, 2^{101222322122001} is an apocalyptic number.

It is an amenable number.

101222322122001 is a deficient number, since it is larger than the sum of its proper divisors (36792216588399).

101222322122001 is a wasteful number, since it uses less digits than its factorization.

101222322122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347889.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101222322122001 its reverse (100221223222101), we get a palindrome (201443545344102).

The spelling of 101222322122001 in words is "one hundred one trillion, two hundred twenty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, one".