101201130113300 has 144 divisors (see below), whose sum is σ = 259273186787328. Its totient is φ = 33552554659200.

The previous prime is 101201130113297. The next prime is 101201130113323. The reversal of 101201130113300 is 3311031102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26577797 + ... + 30146003.

Almost surely, 2^{101201130113300} is an apocalyptic number.

101201130113300 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 101201130113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129636593393664).

101201130113300 is an abundant number, since it is smaller than the sum of its proper divisors (158072056674028).

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

101201130113300 is a wasteful number, since it uses less digits than its factorization.

101201130113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569566 (or 3569559 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101201130113300 its reverse (3311031102101), we get a palindrome (104512161215401).

The spelling of 101201130113300 in words is "one hundred one trillion, two hundred one billion, one hundred thirty million, one hundred thirteen thousand, three hundred".