101000100120 has 192 divisors, whose sum is σ = 324977274720. Its totient is φ = 25025015808.

The previous prime is 101000100101. The next prime is 101000100121. The reversal of 101000100120 is 21001000101.

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 = 101000100099 and 101000100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12727674 + ... + 12735606.

Almost surely, 2^101000100120 is an apocalyptic number.

101000100120 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 101000100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162488637360).

101000100120 is an abundant number, since it is smaller than the sum of its proper divisors (223977174600).

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

101000100120 is a wasteful number, since it uses less digits than its factorization.

101000100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 8039 counting only the distinct ones).

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

Adding to 101000100120 its reverse (21001000101), we get a palindrome (122001100221).

The spelling of 101000100120 in words is "one hundred one billion, one hundred thousand, one hundred twenty".