101142243222400 has 96 divisors (see below), whose sum is σ = 249911317542600. Its totient is φ = 40447445882880.

The previous prime is 101142243222263. The next prime is 101142243222413. The reversal of 101142243222400 is 4222342241101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10015786 + ... + 17395414.

Almost surely, 2^{101142243222400} is an apocalyptic number.

101142243222400 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 101142243222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124955658771300).

101142243222400 is an abundant number, since it is smaller than the sum of its proper divisors (148769074320200).

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

101142243222400 is an equidigital number, since it uses as much as digits as its factorization.

101142243222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383936 (or 7383919 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 101142243222400 its reverse (4222342241101), we get a palindrome (105364585463501).

The spelling of 101142243222400 in words is "one hundred one trillion, one hundred forty-two billion, two hundred forty-three million, two hundred twenty-two thousand, four hundred".