101000032200 has 288 divisors, whose sum is σ = 351580343400. Its totient is φ = 25963130880.

The previous prime is 101000032157. The next prime is 101000032207. The reversal of 101000032200 is 2230000101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 37305377316 + 63694654884 = 193146^2 + 252378^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101000032207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7252444 + ... + 7266356.

Almost surely, 2^101000032200 is an apocalyptic number.

101000032200 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 101000032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175790171700).

101000032200 is an abundant number, since it is smaller than the sum of its proper divisors (250580311200).

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

101000032200 is a wasteful number, since it uses less digits than its factorization.

101000032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081 (or 14069 counting only the distinct ones).

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

Adding to 101000032200 its reverse (2230000101), we get a palindrome (103230032301).

The spelling of 101000032200 in words is "one hundred one billion, thirty-two thousand, two hundred".