101100102211009 has 16 divisors (see below), whose sum is σ = 110765648560320. Its totient is φ = 91513669615360.

The previous prime is 101100102210977. The next prime is 101100102211039. The reversal of 101100102211009 is 900112201001101.

It is a cyclic number.

It is not a de Polignac number, because 101100102211009 - 2⁵ = 101100102210977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100102211039) 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, 299361357 + ... + 299698885.

It is an arithmetic number, because the mean of its divisors is an integer number (6922853035020).

Almost surely, 2^{101100102211009} is an apocalyptic number.

It is an amenable number.

101100102211009 is a deficient number, since it is larger than the sum of its proper divisors (9665546349311).

101100102211009 is a wasteful number, since it uses less digits than its factorization.

101100102211009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454640.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101100102211009 in words is "one hundred one trillion, one hundred billion, one hundred two million, two hundred eleven thousand, nine".