10019191102000 has 80 divisors (see below), whose sum is σ = 24228713182752. Its totient is φ = 4007294457600.

The previous prime is 10019191101989. The next prime is 10019191102073. The reversal of 10019191102000 is 20119191001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21232627 + ... + 21699373.

Almost surely, 2^{10019191102000} is an apocalyptic number.

10019191102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10019191102000 is an abundant number, since it is smaller than the sum of its proper divisors (14209522080752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10019191102000 is a wasteful number, since it uses less digits than its factorization.

10019191102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477503 (or 477487 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 10019191102000 in words is "ten trillion, nineteen billion, one hundred ninety-one million, one hundred two thousand".