101010001100999 has 64 divisors (see below), whose sum is σ = 115955226777600. Its totient is φ = 87390196531200.

The previous prime is 101010001100951. The next prime is 101010001101007. The reversal of 101010001100999 is 999001100010101.

It is a cyclic number.

It is not a de Polignac number, because 101010001100999 - 2¹² = 101010001096903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010001100929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2070743792 + ... + 2070792570.

It is an arithmetic number, because the mean of its divisors is an integer number (1811800418400).

Almost surely, 2^{101010001100999} is an apocalyptic number.

101010001100999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101010001100999 is a deficient number, since it is larger than the sum of its proper divisors (14945225676601).

101010001100999 is a wasteful number, since it uses less digits than its factorization.

101010001100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49704.

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

The spelling of 101010001100999 in words is "one hundred one trillion, ten billion, one million, one hundred thousand, nine hundred ninety-nine".