102113453402400 has 576 divisors, whose sum is σ = 375817566136320. Its totient is φ = 23855369932800.

The previous prime is 102113453402377. The next prime is 102113453402419. The reversal of 102113453402400 is 4204354311201.

It is a super-2 number, since 2×102113453402400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400281289 + ... + 400536311.

It is an arithmetic number, because the mean of its divisors is an integer number (652461052320).

Almost surely, 2^{102113453402400} is an apocalyptic number.

102113453402400 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 102113453402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187908783068160).

102113453402400 is an abundant number, since it is smaller than the sum of its proper divisors (273704112733920).

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

102113453402400 is a wasteful number, since it uses less digits than its factorization.

102113453402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255609 (or 255596 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 102113453402400 in words is "one hundred two trillion, one hundred thirteen billion, four hundred fifty-three million, four hundred two thousand, four hundred".