100107050120 has 192 divisors, whose sum is σ = 293564960640. Its totient is φ = 29845094400.

The previous prime is 100107050101. The next prime is 100107050149. The reversal of 100107050120 is 21050701001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598600 + ... + 1660040.

It is an arithmetic number, because the mean of its divisors is an integer number (1528984170).

Almost surely, 2^100107050120 is an apocalyptic number.

100107050120 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 100107050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146782480320).

100107050120 is an abundant number, since it is smaller than the sum of its proper divisors (193457910520).

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

100107050120 is a wasteful number, since it uses less digits than its factorization.

100107050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61516 (or 61489 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

Adding to 100107050120 its reverse (21050701001), we get a palindrome (121157751121).

The spelling of 100107050120 in words is "one hundred billion, one hundred seven million, fifty thousand, one hundred twenty".