100301102000 has 160 divisors (see below), whose sum is σ = 270208134144. Its totient is φ = 35696736000.

The previous prime is 100301101969. The next prime is 100301102009. The reversal of 100301102000 is 201103001.

It is a super-2 number, since 2×100301102000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100301102009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985499 + ... + 1082501.

Almost surely, 2^100301102000 is an apocalyptic number.

100301102000 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 100301102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135104067072).

100301102000 is an abundant number, since it is smaller than the sum of its proper divisors (169907032144).

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

100301102000 is a wasteful number, since it uses less digits than its factorization.

100301102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97084 (or 97068 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100301102000 its reverse (201103001), we get a palindrome (100502205001).

The spelling of 100301102000 in words is "one hundred billion, three hundred one million, one hundred two thousand".