101002113300 has 288 divisors, whose sum is σ = 339058298880. Its totient is φ = 22956134400.

The previous prime is 101002113299. The next prime is 101002113301. The reversal of 101002113300 is 3311200101.

It is an interprime number because it is at equal distance from previous prime (101002113299) and next prime (101002113301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002113301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6073597 + ... + 6090203.

It is an arithmetic number, because the mean of its divisors is an integer number (1177285760).

Almost surely, 2^101002113300 is an apocalyptic number.

101002113300 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 101002113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169529149440).

101002113300 is an abundant number, since it is smaller than the sum of its proper divisors (238056185580).

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

101002113300 is a wasteful number, since it uses less digits than its factorization.

101002113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16751 (or 16744 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101002113300 its reverse (3311200101), we get a palindrome (104313313401).

The spelling of 101002113300 in words is "one hundred one billion, two million, one hundred thirteen thousand, three hundred".