101022110021001 has 32 divisors (see below), whose sum is σ = 151391845204992. Its totient is φ = 59453671464000.

The previous prime is 101022110020987. The next prime is 101022110021033. The reversal of 101022110021001 is 100120011220101.

It is not a de Polignac number, because 101022110021001 - 2²³ = 101022101632393 is a prime.

It is a super-3 number, since 3×101022110021001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101022110020001) 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, 5351875 + ... + 15188376.

It is an arithmetic number, because the mean of its divisors is an integer number (4730995162656).

Almost surely, 2^{101022110021001} is an apocalyptic number.

It is an amenable number.

101022110021001 is a deficient number, since it is larger than the sum of its proper divisors (50369735183991).

101022110021001 is a wasteful number, since it uses less digits than its factorization.

101022110021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20545773.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101022110021001 its reverse (100120011220101), we get a palindrome (201142121241102).

The spelling of 101022110021001 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, twenty-one thousand, one".