122211010021001 has 12 divisors (see below), whose sum is σ = 134529531416196. Its totient is φ = 110936810418720.

The previous prime is 122211010020949. The next prime is 122211010021003. The reversal of 122211010021001 is 100120010112221.

It can be written as a sum of positive squares in 2 ways, for example, as 117387452033401 + 4823557987600 = 10834549^2 + 2196260^2 .

It is a de Polignac number, because none of the positive numbers 2^k-122211010021001 is a prime.

It is a super-2 number, since 2×122211010021001² (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 (122211010021003) 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, 745862210 + ... + 746026043.

It is an arithmetic number, because the mean of its divisors is an integer number (11210794284683).

Almost surely, 2^{122211010021001} is an apocalyptic number.

122211010021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211010021001 is a deficient number, since it is larger than the sum of its proper divisors (12318521395195).

122211010021001 is a wasteful number, since it uses less digits than its factorization.

122211010021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491888952 (or 1491888941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122211010021001 its reverse (100120010112221), we get a palindrome (222331020133222).

The spelling of 122211010021001 in words is "one hundred twenty-two trillion, two hundred eleven billion, ten million, twenty-one thousand, one".