101330110101000 has 256 divisors, whose sum is σ = 350038479697920. Its totient is φ = 24198234720000.

The previous prime is 101330110100971. The next prime is 101330110101007. The reversal of 101330110101000 is 101011033101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101330110101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20703996 + ... + 25125995.

It is an arithmetic number, because the mean of its divisors is an integer number (1367337811320).

Almost surely, 2^{101330110101000} is an apocalyptic number.

101330110101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101330110101000 is an abundant number, since it is smaller than the sum of its proper divisors (248708369596920).

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

101330110101000 is a wasteful number, since it uses less digits than its factorization.

101330110101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45830093 (or 45830079 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101330110101000 its reverse (101011033101), we get a palindrome (101431121134101).

The spelling of 101330110101000 in words is "one hundred one trillion, three hundred thirty billion, one hundred ten million, one hundred one thousand".