201020120100 has 216 divisors, whose sum is σ = 641050810400. Its totient is φ = 52676490240.

The previous prime is 201020120017. The next prime is 201020120113. The reversal of 201020120100 is 1021020102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26106051 + ... + 26113749.

Almost surely, 2^201020120100 is an apocalyptic number.

201020120100 is a gapful number since it is divisible by the number (20) 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 201020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320525405200).

201020120100 is an abundant number, since it is smaller than the sum of its proper divisors (440030690300).

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

201020120100 is a wasteful number, since it uses less digits than its factorization.

201020120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201020120100 its reverse (1021020102), we get a palindrome (202041140202).

The spelling of 201020120100 in words is "two hundred one billion, twenty million, one hundred twenty thousand, one hundred".