101233522100 has 72 divisors (see below), whose sum is σ = 221992775928. Its totient is φ = 40067008000.

The previous prime is 101233522099. The next prime is 101233522123. The reversal of 101233522100 is 1225332101.

It can be written as a sum of positive squares in 12 ways, for example, as 13169398564 + 88064123536 = 114758^2 + 296756^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28651934 + ... + 28655466.

It is an arithmetic number, because the mean of its divisors is an integer number (3083232999).

Almost surely, 2^101233522100 is an apocalyptic number.

101233522100 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 101233522100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110996387964).

101233522100 is an abundant number, since it is smaller than the sum of its proper divisors (120759253828).

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

101233522100 is a wasteful number, since it uses less digits than its factorization.

101233522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 101233522100 its reverse (1225332101), we get a palindrome (102458854201).

The spelling of 101233522100 in words is "one hundred one billion, two hundred thirty-three million, five hundred twenty-two thousand, one hundred".