101100102100019 has 16 divisors (see below), whose sum is σ = 111535414875360. Its totient is φ = 90872284124160.

The previous prime is 101100102100003. The next prime is 101100102100043. The reversal of 101100102100019 is 910001201001101.

It is a happy number.

It is not a de Polignac number, because 101100102100019 - 2⁴ = 101100102100003 is a prime.

It is a super-2 number, since 2×101100102100019² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100102100919) 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, 18835439 + ... + 23600295.

It is an arithmetic number, because the mean of its divisors is an integer number (6970963429710).

Almost surely, 2^{101100102100019} is an apocalyptic number.

101100102100019 is a deficient number, since it is larger than the sum of its proper divisors (10435312775341).

101100102100019 is a wasteful number, since it uses less digits than its factorization.

101100102100019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786630.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101100102100019 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred thousand, nineteen".