100224031400400 has 240 divisors, whose sum is σ = 322330882181760. Its totient is φ = 26620059648000.

The previous prime is 100224031400377. The next prime is 100224031400453. The reversal of 100224031400400 is 4004130422001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323692861 + ... + 324002339.

It is an arithmetic number, because the mean of its divisors is an integer number (1343045342424).

Almost surely, 2^{100224031400400} is an apocalyptic number.

100224031400400 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 100224031400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161165441090880).

100224031400400 is an abundant number, since it is smaller than the sum of its proper divisors (222106850781360).

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

100224031400400 is a wasteful number, since it uses less digits than its factorization.

100224031400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310574 (or 310563 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100224031400400 its reverse (4004130422001), we get a palindrome (104228161822401).

The spelling of 100224031400400 in words is "one hundred trillion, two hundred twenty-four billion, thirty-one million, four hundred thousand, four hundred".