101120242400 has 72 divisors (see below), whose sum is σ = 250241577264. Its totient is φ = 39893990400.

The previous prime is 101120242343. The next prime is 101120242403. The reversal of 101120242400 is 4242021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807356 + ... + 924155.

It is an arithmetic number, because the mean of its divisors is an integer number (3475577462).

Almost surely, 2^101120242400 is an apocalyptic number.

101120242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120242400 is an abundant number, since it is smaller than the sum of its proper divisors (149121334864).

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

101120242400 is a wasteful number, since it uses less digits than its factorization.

101120242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731604 (or 1731591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101120242400 its reverse (4242021101), we get a palindrome (105362263501).

The spelling of 101120242400 in words is "one hundred one billion, one hundred twenty million, two hundred forty-two thousand, four hundred".