101032200000 has 756 divisors, whose sum is σ = 381085741764. Its totient is φ = 25574400000.

The previous prime is 101032199987. The next prime is 101032200023. The reversal of 101032200000 is 2230101.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 97733765376 + 3298434624 = 312624^2 + 57432^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2464199980 + ... + 2464200020.

It is an arithmetic number, because the mean of its divisors is an integer number (504081669).

Almost surely, 2^101032200000 is an apocalyptic number.

101032200000 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 101032200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190542870882).

101032200000 is an abundant number, since it is smaller than the sum of its proper divisors (280053541764).

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

101032200000 is an frugal number, since it uses more digits than its factorization.

101032200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101032200000 its reverse (2230101), we get a palindrome (101034430101).

The spelling of 101032200000 in words is "one hundred one billion, thirty-two million, two hundred thousand".