101141943840 has 384 divisors, whose sum is σ = 410118750720. Its totient is φ = 22800973824.

The previous prime is 101141943823. The next prime is 101141943901. The reversal of 101141943840 is 48349141101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101141943795 and 101141943804.

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, 2184612 + ... + 2230428.

It is an arithmetic number, because the mean of its divisors is an integer number (1068017580).

Almost surely, 2^101141943840 is an apocalyptic number.

101141943840 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 101141943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205059375360).

101141943840 is an abundant number, since it is smaller than the sum of its proper divisors (308976806880).

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

101141943840 is a wasteful number, since it uses less digits than its factorization.

101141943840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45921 (or 45907 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 101141943840 in words is "one hundred one billion, one hundred forty-one million, nine hundred forty-three thousand, eight hundred forty".