101132200000 has 336 divisors, whose sum is σ = 273600019728. Its totient is φ = 36864000000.

The previous prime is 101132199991. The next prime is 101132200021. The reversal of 101132200000 is 2231101.

It can be written as a sum of positive squares in 24 ways, for example, as 95748162624 + 5384037376 = 309432^2 + 73376^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101132200000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252199800 + ... + 252200200.

It is an arithmetic number, because the mean of its divisors is an integer number (814285773).

Almost surely, 2^101132200000 is an apocalyptic number.

101132200000 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 101132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800009864).

101132200000 is an abundant number, since it is smaller than the sum of its proper divisors (172467819728).

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

101132200000 is an frugal number, since it uses more digits than its factorization.

101132200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101132200000 its reverse (2231101), we get a palindrome (101134431101).

The spelling of 101132200000 in words is "one hundred one billion, one hundred thirty-two million, two hundred thousand".