122001000021 has 36 divisors (see below), whose sum is σ = 187349912100. Its totient is φ = 76488158208.

The previous prime is 122001000001. The next prime is 122001000029. The reversal of 122001000021 is 120000100221.

It can be written as a sum of positive squares in 6 ways, for example, as 58743216900 + 63257783121 = 242370^2 + 251511^2 .

It is not a de Polignac number, because 122001000021 - 2¹⁹ = 122000475733 is a prime.

It is a super-2 number, since 2×122001000021² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122000999967 and 122001000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001000029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3334495 + ... + 3370883.

It is an arithmetic number, because the mean of its divisors is an integer number (5204164225).

Almost surely, 2^122001000021 is an apocalyptic number.

It is an amenable number.

122001000021 is a deficient number, since it is larger than the sum of its proper divisors (65348912079).

122001000021 is a wasteful number, since it uses less digits than its factorization.

122001000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37718 (or 37698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122001000021 its reverse (120000100221), we get a palindrome (242001100242).

The spelling of 122001000021 in words is "one hundred twenty-two billion, one million, twenty-one", and thus it is an aban number.