101310120100 has 144 divisors (see below), whose sum is σ = 259601884416. Its totient is φ = 33598656000.

The previous prime is 101310120053. The next prime is 101310120103. The reversal of 101310120100 is 1021013101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101310120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2614870 + ... + 2653330.

It is an arithmetic number, because the mean of its divisors is an integer number (1802790864).

Almost surely, 2^101310120100 is an apocalyptic number.

101310120100 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 101310120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129800942208).

101310120100 is an abundant number, since it is smaller than the sum of its proper divisors (158291764316).

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

101310120100 is a wasteful number, since it uses less digits than its factorization.

101310120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38606 (or 38599 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101310120100 its reverse (1021013101), we get a palindrome (102331133201).

The spelling of 101310120100 in words is "one hundred one billion, three hundred ten million, one hundred twenty thousand, one hundred".