100192192001 has 48 divisors (see below), whose sum is σ = 119212798464. Its totient is φ = 83191680000.

The previous prime is 100192191991. The next prime is 100192192021. The reversal of 100192192001 is 100291291001.

It is not a de Polignac number, because 100192192001 - 2¹⁴ = 100192175617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100192192021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101101616 + ... + 101102606.

It is an arithmetic number, because the mean of its divisors is an integer number (2483599968).

Almost surely, 2^100192192001 is an apocalyptic number.

100192192001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100192192001 is a deficient number, since it is larger than the sum of its proper divisors (19020606463).

100192192001 is a wasteful number, since it uses less digits than its factorization.

100192192001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 100192192001 in words is "one hundred billion, one hundred ninety-two million, one hundred ninety-two thousand, one".