900122121221009 has 16 divisors (see below), whose sum is σ = 926204473089360. Its totient is φ = 874377118617600.

The previous prime is 900122121220913. The next prime is 900122121221027.

900122121221009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 105530419840000 + 794591701381009 = 10272800^2 + 28188503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-900122121221009 is a prime.

It is a super-2 number, since 2×900122121221009² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900122121221069) 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, 267999137 + ... + 271337025.

It is an arithmetic number, because the mean of its divisors is an integer number (57887779568085).

Almost surely, 2^{900122121221009} is an apocalyptic number.

It is an amenable number.

900122121221009 is a deficient number, since it is larger than the sum of its proper divisors (26082351868351).

900122121221009 is a wasteful number, since it uses less digits than its factorization.

900122121221009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388420.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 900122121221009 in words is "nine hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, nine".