102011332322400 has 576 divisors, whose sum is σ = 359707859223552. Its totient is φ = 25012853309440.

The previous prime is 102011332322371. The next prime is 102011332322701. The reversal of 102011332322400 is 4223233110201.

It is a super-2 number, since 2×102011332322400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068055447 + ... + 1068150953.

It is an arithmetic number, because the mean of its divisors is an integer number (624492811152).

Almost surely, 2^{102011332322400} is an apocalyptic number.

102011332322400 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 102011332322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179853929611776).

102011332322400 is an abundant number, since it is smaller than the sum of its proper divisors (257696526901152).

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

102011332322400 is a wasteful number, since it uses less digits than its factorization.

102011332322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96151 (or 96138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102011332322400 its reverse (4223233110201), we get a palindrome (106234565432601).

The spelling of 102011332322400 in words is "one hundred two trillion, eleven billion, three hundred thirty-two million, three hundred twenty-two thousand, four hundred".