101211010122009 has 16 divisors (see below), whose sum is σ = 135530922816000. Its totient is φ = 67183179549696.

The previous prime is 101211010121983. The next prime is 101211010122073. The reversal of 101211010122009 is 900221010112101.

It is not a de Polignac number, because 101211010122009 - 2⁹ = 101211010121497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211010122709) 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, 77787034 + ... + 79077459.

It is an arithmetic number, because the mean of its divisors is an integer number (8470682676000).

Almost surely, 2^{101211010122009} is an apocalyptic number.

It is an amenable number.

101211010122009 is a deficient number, since it is larger than the sum of its proper divisors (34319912693991).

101211010122009 is a wasteful number, since it uses less digits than its factorization.

101211010122009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156865424.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 101211010122009 in words is "one hundred one trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand, nine".