102223154042400 has 288 divisors, whose sum is σ = 335429163659520. Its totient is φ = 27039787909120.

The previous prime is 102223154042377. The next prime is 102223154042413. The reversal of 102223154042400 is 4240451322201.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 147068482 + ... + 147761918.

It is an arithmetic number, because the mean of its divisors is an integer number (1164684596040).

Almost surely, 2^{102223154042400} is an apocalyptic number.

102223154042400 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 102223154042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167714581829760).

102223154042400 is an abundant number, since it is smaller than the sum of its proper divisors (233206009617120).

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

102223154042400 is a wasteful number, since it uses less digits than its factorization.

102223154042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693956 (or 693943 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 102223154042400 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred fifty-four million, forty-two thousand, four hundred".