101320123310100 has 54 divisors (see below), whose sum is σ = 317582297622590. Its totient is φ = 27018699549120.

The previous prime is 101320123310059. The next prime is 101320123310117. The reversal of 101320123310100 is 1013321023101.

101320123310100 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 2 + 331 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3131604493956 + 98188518816144 = 1769634^2 + 9909012^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56288956495 + ... + 56288958294.

Almost surely, 2^{101320123310100} is an apocalyptic number.

101320123310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320123310100 is an abundant number, since it is smaller than the sum of its proper divisors (216262174312490).

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

101320123310100 is a wasteful number, since it uses less digits than its factorization.

101320123310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112577914809 (or 112577914799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101320123310100 its reverse (1013321023101), we get a palindrome (102333444333201).

The spelling of 101320123310100 in words is "one hundred one trillion, three hundred twenty billion, one hundred twenty-three million, three hundred ten thousand, one hundred".