101231122100 has 72 divisors (see below), whose sum is σ = 224308356888. Its totient is φ = 39645849600.

The previous prime is 101231122099. The next prime is 101231122189. The reversal of 101231122100 is 1221132101.

It can be written as a sum of positive squares in 12 ways, for example, as 50569215376 + 50661906724 = 224876^2 + 225082^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949490 + ... + 1050710.

Almost surely, 2^101231122100 is an apocalyptic number.

101231122100 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 101231122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112154178444).

101231122100 is an abundant number, since it is smaller than the sum of its proper divisors (123077234788).

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

101231122100 is a wasteful number, since it uses less digits than its factorization.

101231122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101445 (or 101438 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101231122100 its reverse (1221132101), we get a palindrome (102452254201).

The spelling of 101231122100 in words is "one hundred one billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred".