101834192000 has 64 divisors (see below), whose sum is σ = 253185299640. Its totient is φ = 40733670400.

The previous prime is 101834191999. The next prime is 101834192003. The reversal of 101834192000 is 291438101.

It can be written as a sum of positive squares in 4 ways, for example, as 24278625856 + 77555566144 = 155816^2 + 278488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (101834192003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3166319 + ... + 3198318.

Almost surely, 2^101834192000 is an apocalyptic number.

101834192000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101834192000 is an abundant number, since it is smaller than the sum of its proper divisors (151351107640).

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

101834192000 is an frugal number, since it uses more digits than its factorization.

101834192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364666 (or 6364644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 101834192000 in words is "one hundred one billion, eight hundred thirty-four million, one hundred ninety-two thousand".