10100101100999 has 16 divisors (see below), whose sum is σ = 12431076672000. Its totient is φ = 7991171134560.

The previous prime is 10100101100993. The next prime is 10100101101053. The reversal of 10100101100999 is 99900110100101.

It is a cyclic number.

It is not a de Polignac number, because 10100101100999 - 2⁸ = 10100101100743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101100993) 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, 5680502 + ... + 7243500.

It is an arithmetic number, because the mean of its divisors is an integer number (776942292000).

Almost surely, 2^{10100101100999} is an apocalyptic number.

10100101100999 is a deficient number, since it is larger than the sum of its proper divisors (2330975571001).

10100101100999 is a wasteful number, since it uses less digits than its factorization.

10100101100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634030.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10100101100999 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, nine hundred ninety-nine".