101022201220121 has 24 divisors (see below), whose sum is σ = 109848102059520. Its totient is φ = 92836272436992.

The previous prime is 101022201220103. The next prime is 101022201220133. The reversal of 101022201220121 is 121022102220101.

It is not a de Polignac number, because 101022201220121 - 2³⁸ = 100747323313177 is a prime.

It is a super-2 number, since 2×101022201220121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101022201220121.

It is not an unprimeable number, because it can be changed into a prime (101022201220321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34365515 + ... + 37189151.

It is an arithmetic number, because the mean of its divisors is an integer number (4577004252480).

Almost surely, 2^{101022201220121} is an apocalyptic number.

It is an amenable number.

101022201220121 is a deficient number, since it is larger than the sum of its proper divisors (8825900839399).

101022201220121 is a wasteful number, since it uses less digits than its factorization.

101022201220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826593 (or 2826576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101022201220121 its reverse (121022102220101), we get a palindrome (222044303440222).

The spelling of 101022201220121 in words is "one hundred one trillion, twenty-two billion, two hundred one million, two hundred twenty thousand, one hundred twenty-one".