101002011300 has 108 divisors (see below), whose sum is σ = 317273232276. Its totient is φ = 26875334400.

The previous prime is 101002011259. The next prime is 101002011301. The reversal of 101002011300 is 3110200101.

It can be written as a sum of positive squares in 6 ways, for example, as 7868399616 + 93133611684 = 88704^2 + 305178^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101002011301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293182 + ... + 536618.

Almost surely, 2^101002011300 is an apocalyptic number.

101002011300 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 101002011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158636616138).

101002011300 is an abundant number, since it is smaller than the sum of its proper divisors (216271220976).

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

101002011300 is a wasteful number, since it uses less digits than its factorization.

101002011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243918 (or 243908 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101002011300 its reverse (3110200101), we get a palindrome (104112211401).

The spelling of 101002011300 in words is "one hundred one billion, two million, eleven thousand, three hundred".