101349662400 has 588 divisors, whose sum is σ = 427353538992. Its totient is φ = 23163770880.

The previous prime is 101349662389. The next prime is 101349662413. The reversal of 101349662400 is 4266943101.

101349662400 is a `hidden beast` number, since 10 + 1 + 349 + 66 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8158594 + ... + 8171006.

Almost surely, 2^101349662400 is an apocalyptic number.

101349662400 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 101349662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213676769496).

101349662400 is an abundant number, since it is smaller than the sum of its proper divisors (326003876592).

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

101349662400 is an equidigital number, since it uses as much as digits as its factorization.

101349662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 101349662400 in words is "one hundred one billion, three hundred forty-nine million, six hundred sixty-two thousand, four hundred".