100120020 has 192 divisors, whose sum is σ = 376621056. Its totient is φ = 19192320.

The previous prime is 100120003. The next prime is 100120037. The reversal of 100120020 is 20021001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100120003) and next prime (100120037).

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 = 100119990 and 100120008.

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, 59227 + ... + 60893.

It is an arithmetic number, because the mean of its divisors is an integer number (1961568).

Almost surely, 2^100120020 is an apocalyptic number.

100120020 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 100120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188310528).

100120020 is an abundant number, since it is smaller than the sum of its proper divisors (276501036).

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

100120020 is a wasteful number, since it uses less digits than its factorization.

100120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100120020 is about 10005.9992004797. Note that the first 3 decimals coincide. The cubic root of 100120020 is about 464.3445036179.

Adding to 100120020 its reverse (20021001), we get a palindrome (120141021).

The spelling of 100120020 in words is "one hundred million, one hundred twenty thousand, twenty".