101132023200 has 288 divisors, whose sum is σ = 355533494400. Its totient is φ = 24821944320.

The previous prime is 101132023171. The next prime is 101132023207. The reversal of 101132023200 is 2320231101.

It is a super-2 number, since 2×101132023200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101132023200.

It is not an unprimeable number, because it can be changed into a prime (101132023207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11196286 + ... + 11205314.

It is an arithmetic number, because the mean of its divisors is an integer number (1234491300).

Almost surely, 2^101132023200 is an apocalyptic number.

101132023200 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 101132023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177766747200).

101132023200 is an abundant number, since it is smaller than the sum of its proper divisors (254401471200).

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

101132023200 is a wasteful number, since it uses less digits than its factorization.

101132023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101132023200 its reverse (2320231101), we get a palindrome (103452254301).

The spelling of 101132023200 in words is "one hundred one billion, one hundred thirty-two million, twenty-three thousand, two hundred".