201102022212001 has 16 divisors (see below), whose sum is σ = 220274756681040. Its totient is φ = 182745242910720.

The previous prime is 201102022211969. The next prime is 201102022212023. The reversal of 201102022212001 is 100212220201102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2205269550225 + 198896752661776 = 1485015^2 + 14103076^2 .

It is a cyclic number.

It is not a de Polignac number, because 201102022212001 - 2⁵ = 201102022211969 is a prime.

It is a super-2 number, since 2×201102022212001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201102022242001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217976641 + ... + 218897281.

It is an arithmetic number, because the mean of its divisors is an integer number (13767172292565).

Almost surely, 2^{201102022212001} is an apocalyptic number.

It is an amenable number.

201102022212001 is a deficient number, since it is larger than the sum of its proper divisors (19172734469039).

201102022212001 is a wasteful number, since it uses less digits than its factorization.

201102022212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363764.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201102022212001 its reverse (100212220201102), we get a palindrome (301314242413103).

The spelling of 201102022212001 in words is "two hundred one trillion, one hundred two billion, twenty-two million, two hundred twelve thousand, one".