101332312100 has 72 divisors (see below), whose sum is σ = 231203827008. Its totient is φ = 38474550400.

The previous prime is 101332312099. The next prime is 101332312117. The reversal of 101332312100 is 1213233101.

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, 133142 + ... + 469458.

It is an arithmetic number, because the mean of its divisors is an integer number (3211164264).

Almost surely, 2^101332312100 is an apocalyptic number.

101332312100 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 101332312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115601913504).

101332312100 is an abundant number, since it is smaller than the sum of its proper divisors (129871514908).

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

101332312100 is a wasteful number, since it uses less digits than its factorization.

101332312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336485 (or 336478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101332312100 its reverse (1213233101), we get a palindrome (102545545201).

The spelling of 101332312100 in words is "one hundred one billion, three hundred thirty-two million, three hundred twelve thousand, one hundred".