101353238400 has 384 divisors, whose sum is σ = 358488840960. Its totient is φ = 25076531200.

The previous prime is 101353238387. The next prime is 101353238401. The reversal of 101353238400 is 4832353101.

101353238400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101353238401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11582827 + ... + 11591573.

It is an arithmetic number, because the mean of its divisors is an integer number (933564690).

Almost surely, 2^101353238400 is an apocalyptic number.

101353238400 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 101353238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179244420480).

101353238400 is an abundant number, since it is smaller than the sum of its proper divisors (257135602560).

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

101353238400 is a wasteful number, since it uses less digits than its factorization.

101353238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 101353238400 in words is "one hundred one billion, three hundred fifty-three million, two hundred thirty-eight thousand, four hundred".