100300000022400 has 192 divisors, whose sum is σ = 347750658604800. Its totient is φ = 25338947328000.

The previous prime is 100300000022309. The next prime is 100300000022437. The reversal of 100300000022400 is 4220000003001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274762776 + ... + 275127575.

It is an arithmetic number, because the mean of its divisors is an integer number (1811201346900).

Almost surely, 2^{100300000022400} is an apocalyptic number.

100300000022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300000022400 is an abundant number, since it is smaller than the sum of its proper divisors (247450658582400).

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

100300000022400 is a wasteful number, since it uses less digits than its factorization.

100300000022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549890397 (or 549890380 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100300000022400 its reverse (4220000003001), we get a palindrome (104520000025401).

The spelling of 100300000022400 in words is "one hundred trillion, three hundred billion, twenty-two thousand, four hundred".