20101121020009 has 2 divisors, whose sum is σ = 20101121020010. Its totient is φ = 20101121020008.

The previous prime is 20101121019919. The next prime is 20101121020033. The reversal of 20101121020009 is 90002012110102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11048676842025 + 9052444177984 = 3323955^2 + 3008728^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101121020009 - 2²⁵ = 20101087465577 is a prime.

It is a super-2 number, since 2×20101121020009² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20101121080009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050560510004 + 10050560510005.

It is an arithmetic number, because the mean of its divisors is an integer number (10050560510005).

Almost surely, 2^{20101121020009} is an apocalyptic number.

It is an amenable number.

20101121020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101121020009 is an equidigital number, since it uses as much as digits as its factorization.

20101121020009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 20101121020009 in words is "twenty trillion, one hundred one billion, one hundred twenty-one million, twenty thousand, nine".