101232132100 has 144 divisors (see below), whose sum is σ = 254222478720. Its totient is φ = 34580531200.

The previous prime is 101232131969. The next prime is 101232132103. The reversal of 101232132100 is 1231232101.

It is not an unprimeable number, because it can be changed into a prime (101232132103) 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, 10411041 + ... + 10420759.

It is an arithmetic number, because the mean of its divisors is an integer number (1765433880).

Almost surely, 2^101232132100 is an apocalyptic number.

101232132100 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 101232132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127111239360).

101232132100 is an abundant number, since it is smaller than the sum of its proper divisors (152990346620).

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

101232132100 is a wasteful number, since it uses less digits than its factorization.

101232132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101232132100 its reverse (1231232101), we get a palindrome (102463364201).

It can be divided in two parts, 101232 and 132100, that added together give a palindrome (233332).

The spelling of 101232132100 in words is "one hundred one billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred".