101380043400 has 192 divisors, whose sum is σ = 321459425280. Its totient is φ = 26418720000.

The previous prime is 101380043393. The next prime is 101380043441. The reversal of 101380043400 is 4340083101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21175807 + ... + 21180593.

It is an arithmetic number, because the mean of its divisors is an integer number (1674267840).

Almost surely, 2^101380043400 is an apocalyptic number.

101380043400 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 101380043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160729712640).

101380043400 is an abundant number, since it is smaller than the sum of its proper divisors (220079381880).

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

101380043400 is a wasteful number, since it uses less digits than its factorization.

101380043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 101380043400 in words is "one hundred one billion, three hundred eighty million, forty-three thousand, four hundred".