101114242400 has 144 divisors (see below), whose sum is σ = 250113679200. Its totient is φ = 39913205760.

The previous prime is 101114242381. The next prime is 101114242417. The reversal of 101114242400 is 4242411101.

It is a super-2 number, since 2×101114242400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22931396 + ... + 22935804.

It is an arithmetic number, because the mean of its divisors is an integer number (1736900550).

Almost surely, 2^101114242400 is an apocalyptic number.

101114242400 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 101114242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125056839600).

101114242400 is an abundant number, since it is smaller than the sum of its proper divisors (148999436800).

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

101114242400 is a wasteful number, since it uses less digits than its factorization.

101114242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101114242400 its reverse (4242411101), we get a palindrome (105356653501).

The spelling of 101114242400 in words is "one hundred one billion, one hundred fourteen million, two hundred forty-two thousand, four hundred".