101322102100 has 36 divisors (see below), whose sum is σ = 219895980444. Its totient is φ = 40523860480.

The previous prime is 101322102059. The next prime is 101322102113. The reversal of 101322102100 is 1201223101.

It can be written as a sum of positive squares in 6 ways, for example, as 434555716 + 100887546384 = 20846^2 + 317628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817422 + ... + 933178.

It is an arithmetic number, because the mean of its divisors is an integer number (6108221679).

Almost surely, 2^101322102100 is an apocalyptic number.

101322102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322102100 is an abundant number, since it is smaller than the sum of its proper divisors (118573878344).

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

101322102100 is a wasteful number, since it uses less digits than its factorization.

101322102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124524 (or 124517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101322102100 its reverse (1201223101), we get a palindrome (102523325201).

The spelling of 101322102100 in words is "one hundred one billion, three hundred twenty-two million, one hundred two thousand, one hundred".