100130101020 has 192 divisors, whose sum is σ = 315183052800. Its totient is φ = 26388322560.

The previous prime is 100130101013. The next prime is 100130101069. The reversal of 100130101020 is 20101031001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100130100993 and 100130101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25366687 + ... + 25370633.

It is an arithmetic number, because the mean of its divisors is an integer number (1641578400).

Almost surely, 2^100130101020 is an apocalyptic number.

100130101020 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 100130101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157591526400).

100130101020 is an abundant number, since it is smaller than the sum of its proper divisors (215052951780).

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

100130101020 is a wasteful number, since it uses less digits than its factorization.

100130101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4497 counting only the distinct ones).

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

Adding to 100130101020 its reverse (20101031001), we get a palindrome (120231132021).

The spelling of 100130101020 in words is "one hundred billion, one hundred thirty million, one hundred one thousand, twenty".