101323120100 has 18 divisors (see below), whose sum is σ = 219871170834. Its totient is φ = 40529248000.

The previous prime is 101323120069. The next prime is 101323120141. The reversal of 101323120100 is 1021323101.

101323120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 984955456 + 100338164644 = 31384^2 + 316762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506615501 + ... + 506615700.

Almost surely, 2^101323120100 is an apocalyptic number.

101323120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323120100 is an abundant number, since it is smaller than the sum of its proper divisors (118548050734).

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

101323120100 is a wasteful number, since it uses less digits than its factorization.

101323120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013231215 (or 1013231208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101323120100 its reverse (1021323101), we get a palindrome (102344443201).

The spelling of 101323120100 in words is "one hundred one billion, three hundred twenty-three million, one hundred twenty thousand, one hundred".