22101002102009 has 32 divisors (see below), whose sum is σ = 23920735037472. Its totient is φ = 20342956032000.

The previous prime is 22101002101999. The next prime is 22101002102063. The reversal of 22101002102009 is 90020120010122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 16534210147984 + 5566791954025 = 4066228^2 + 2359405^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101002102009 - 2¹² = 22101002097913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101002102909) 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, 1471724669 + ... + 1471739685.

It is an arithmetic number, because the mean of its divisors is an integer number (747522969921).

Almost surely, 2^{22101002102009} is an apocalyptic number.

It is an amenable number.

22101002102009 is a deficient number, since it is larger than the sum of its proper divisors (1819732935463).

22101002102009 is a wasteful number, since it uses less digits than its factorization.

22101002102009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 22101002102009 in words is "twenty-two trillion, one hundred one billion, two million, one hundred two thousand, nine".