100102001101300 has 108 divisors (see below), whose sum is σ = 238787404276428. Its totient is φ = 36397152704000.

The previous prime is 100102001101253. The next prime is 100102001101301. The reversal of 100102001101300 is 3101100201001.

It can be written as a sum of positive squares in 6 ways, for example, as 2808989408016 + 97293011693284 = 1676004^2 + 9863722^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124386210 + ... + 125188390.

It is an arithmetic number, because the mean of its divisors is an integer number (2210994484041).

Almost surely, 2^{100102001101300} is an apocalyptic number.

100102001101300 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 100102001101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119393702138214).

100102001101300 is an abundant number, since it is smaller than the sum of its proper divisors (138685403175128).

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

100102001101300 is a wasteful number, since it uses less digits than its factorization.

100102001101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812530 (or 812512 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100102001101300 its reverse (3101100201001), we get a palindrome (103203101302301).

The spelling of 100102001101300 in words is "one hundred trillion, one hundred two billion, one million, one hundred one thousand, three hundred".