100010100120 has 256 divisors, whose sum is σ = 364665369600. Its totient is φ = 21432729600.

The previous prime is 100010100109. The next prime is 100010100121. The reversal of 100010100120 is 21001010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100010100099 and 100010100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515820 + ... + 1580420.

It is an arithmetic number, because the mean of its divisors is an integer number (1424474100).

Almost surely, 2^100010100120 is an apocalyptic number.

100010100120 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 100010100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182332684800).

100010100120 is an abundant number, since it is smaller than the sum of its proper divisors (264655269480).

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

100010100120 is a wasteful number, since it uses less digits than its factorization.

100010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64738 (or 64734 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100010100120 its reverse (21001010001), we get a palindrome (121011110121).

The spelling of 100010100120 in words is "one hundred billion, ten million, one hundred thousand, one hundred twenty".