101022011002009 has 2 divisors, whose sum is σ = 101022011002010. Its totient is φ = 101022011002008.

The previous prime is 101022011002007. The next prime is 101022011002117. The reversal of 101022011002009 is 900200110220101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72771085176409 + 28250925825600 = 8530597^2 + 5315160^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022011002009 - 2¹ = 101022011002007 is a prime.

It is a super-4 number, since 4×101022011002009⁴ (a number of 57 digits) contains 4444 as substring.

Together with 101022011002007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101022011002007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511005501004 + 50511005501005.

It is an arithmetic number, because the mean of its divisors is an integer number (50511005501005).

Almost surely, 2^{101022011002009} is an apocalyptic number.

It is an amenable number.

101022011002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022011002009 is an equidigital number, since it uses as much as digits as its factorization.

101022011002009 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 101022011002009 in words is "one hundred one trillion, twenty-two billion, eleven million, two thousand, nine".