101252022400 has 96 divisors (see below), whose sum is σ = 250361626500. Its totient is φ = 40462356480.

The previous prime is 101252022373. The next prime is 101252022419. The reversal of 101252022400 is 4220252101.

It can be written as a sum of positive squares in 6 ways, for example, as 95362380864 + 5889641536 = 308808^2 + 76744^2 .

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, 3483126 + ... + 3512074.

Almost surely, 2^101252022400 is an apocalyptic number.

101252022400 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 101252022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125180813250).

101252022400 is an abundant number, since it is smaller than the sum of its proper divisors (149109604100).

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

101252022400 is a wasteful number, since it uses less digits than its factorization.

101252022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30066 (or 30049 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 101252022400 its reverse (4220252101), we get a palindrome (105472274501).

The spelling of 101252022400 in words is "one hundred one billion, two hundred fifty-two million, twenty-two thousand, four hundred".