101353543400 has 96 divisors (see below), whose sum is σ = 246363249600. Its totient is φ = 38777816000.

The previous prime is 101353543387. The next prime is 101353543453. The reversal of 101353543400 is 4345353101.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412575 + ... + 2454225.

It is an arithmetic number, because the mean of its divisors is an integer number (2566283850).

Almost surely, 2^101353543400 is an apocalyptic number.

101353543400 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 101353543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181624800).

101353543400 is an abundant number, since it is smaller than the sum of its proper divisors (145009706200).

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

101353543400 is an equidigital number, since it uses as much as digits as its factorization.

101353543400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41736 (or 41681 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 101353543400 its reverse (4345353101), we get a palindrome (105698896501).

The spelling of 101353543400 in words is "one hundred one billion, three hundred fifty-three million, five hundred forty-three thousand, four hundred".