101345260200 has 96 divisors (see below), whose sum is σ = 314501745600. Its totient is φ = 26996892160.

The previous prime is 101345260193. The next prime is 101345260241. The reversal of 101345260200 is 2062543101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483181 + ... + 660419.

It is an arithmetic number, because the mean of its divisors is an integer number (3276059850).

Almost surely, 2^101345260200 is an apocalyptic number.

101345260200 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 101345260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157250872800).

101345260200 is an abundant number, since it is smaller than the sum of its proper divisors (213156485400).

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

101345260200 is a wasteful number, since it uses less digits than its factorization.

101345260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178211 (or 178202 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 101345260200 in words is "one hundred one billion, three hundred forty-five million, two hundred sixty thousand, two hundred".