201002010120 has 192 divisors, whose sum is σ = 681913430640. Its totient is φ = 51296716800.

The previous prime is 201002010119. The next prime is 201002010137. The reversal of 201002010120 is 21010200102.

201002010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 55259785476 + 145742224644 = 235074^2 + 381762^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688830 + ... + 936210.

Almost surely, 2^201002010120 is an apocalyptic number.

201002010120 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 201002010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340956715320).

201002010120 is an abundant number, since it is smaller than the sum of its proper divisors (480911420520).

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

201002010120 is a wasteful number, since it uses less digits than its factorization.

201002010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247496 (or 247489 counting only the distinct ones).

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

Adding to 201002010120 its reverse (21010200102), we get a palindrome (222012210222).

The spelling of 201002010120 in words is "two hundred one billion, two million, ten thousand, one hundred twenty".