101100310120 has 32 divisors (see below), whose sum is σ = 227485130400. Its totient is φ = 40438447168.

The previous prime is 101100310117. The next prime is 101100310121. The reversal of 101100310120 is 21013001101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100310097 and 101100310106.

It is not an unprimeable number, because it can be changed into a prime (101100310121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1471167 + ... + 1538353.

It is an arithmetic number, because the mean of its divisors is an integer number (7108910325).

Almost surely, 2^101100310120 is an apocalyptic number.

101100310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100310120 is an abundant number, since it is smaller than the sum of its proper divisors (126384820280).

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

101100310120 is a wasteful number, since it uses less digits than its factorization.

101100310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104817 (or 104813 counting only the distinct ones).

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

Adding to 101100310120 its reverse (21013001101), we get a palindrome (122113311221).

The spelling of 101100310120 in words is "one hundred one billion, one hundred million, three hundred ten thousand, one hundred twenty".