101894341920 has 384 divisors, whose sum is σ = 372513447936. Its totient is φ = 22931521536.

The previous prime is 101894341853. The next prime is 101894341943. The reversal of 101894341920 is 29143498101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63405757 + ... + 63407363.

It is an arithmetic number, because the mean of its divisors is an integer number (970087104).

Almost surely, 2^101894341920 is an apocalyptic number.

101894341920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101894341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186256723968).

101894341920 is an abundant number, since it is smaller than the sum of its proper divisors (270619106016).

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

101894341920 is a wasteful number, since it uses less digits than its factorization.

101894341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 101894341920 in words is "one hundred one billion, eight hundred ninety-four million, three hundred forty-one thousand, nine hundred twenty".