1020120100 has 72 divisors (see below), whose sum is σ = 2306796800. Its totient is φ = 391132800.

The previous prime is 1020120083. The next prime is 1020120103. The reversal of 1020120100 is 10210201.

1020120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1020120103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336391 + ... + 339409.

Almost surely, 2^1020120100 is an apocalyptic number.

1020120100 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 1020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153398400).

1020120100 is an abundant number, since it is smaller than the sum of its proper divisors (1286676700).

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

1020120100 is a wasteful number, since it uses less digits than its factorization.

1020120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1020120100 is about 31939.3190284327. The cubic root of 1020120100 is about 1006.6622163061.

Adding to 1020120100 its reverse (10210201), we get a palindrome (1030330301).

The spelling of 1020120100 in words is "one billion, twenty million, one hundred twenty thousand, one hundred".