101132233400 has 96 divisors (see below), whose sum is σ = 256762673280. Its totient is φ = 36738864000.

The previous prime is 101132233393. The next prime is 101132233429. The reversal of 101132233400 is 4332231101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2245907 + ... + 2290493.

It is an arithmetic number, because the mean of its divisors is an integer number (2674611180).

Almost surely, 2^101132233400 is an apocalyptic number.

101132233400 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 101132233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381336640).

101132233400 is an abundant number, since it is smaller than the sum of its proper divisors (155630439880).

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

101132233400 is a wasteful number, since it uses less digits than its factorization.

101132233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45645 (or 45636 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101132233400 its reverse (4332231101), we get a palindrome (105464464501).

The spelling of 101132233400 in words is "one hundred one billion, one hundred thirty-two million, two hundred thirty-three thousand, four hundred".