100101100010009 has 24 divisors (see below), whose sum is σ = 117579060406080. Its totient is φ = 84964745656224.

The previous prime is 100101100009973. The next prime is 100101100010089. The reversal of 100101100010009 is 900010001101001.

It is a happy number.

It is not a de Polignac number, because 100101100010009 - 2¹⁶ = 100101099944473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101100009975 and 100101100010002.

It is not an unprimeable number, because it can be changed into a prime (100101100010089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139813262 + ... + 140527400.

It is an arithmetic number, because the mean of its divisors is an integer number (4899127516920).

Almost surely, 2^{100101100010009} is an apocalyptic number.

It is an amenable number.

100101100010009 is a deficient number, since it is larger than the sum of its proper divisors (17477960396071).

100101100010009 is a wasteful number, since it uses less digits than its factorization.

100101100010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742029 (or 742022 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100101100010009 in words is "one hundred trillion, one hundred one billion, one hundred million, ten thousand, nine".