101223423242400 has 72 divisors (see below), whose sum is σ = 329482242661824. Its totient is φ = 26992912864000.

The previous prime is 101223423242399. The next prime is 101223423242449. The reversal of 101223423242400 is 4242324322101.

It is a super-3 number, since 3×101223423242400³ (a number of 43 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 21088210776 + ... + 21088215575.

It is an arithmetic number, because the mean of its divisors is an integer number (4576142259192).

Almost surely, 2^{101223423242400} is an apocalyptic number.

101223423242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223423242400 is an abundant number, since it is smaller than the sum of its proper divisors (228258819419424).

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

101223423242400 is a wasteful number, since it uses less digits than its factorization.

101223423242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42176426374 (or 42176426361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 101223423242400 its reverse (4242324322101), we get a palindrome (105465747564501).

The spelling of 101223423242400 in words is "one hundred one trillion, two hundred twenty-three billion, four hundred twenty-three million, two hundred forty-two thousand, four hundred".