201010002120 has 96 divisors (see below), whose sum is σ = 670938835320. Its totient is φ = 52153943040.

The previous prime is 201010002079. The next prime is 201010002131. The reversal of 201010002120 is 21200010102.

201010002120 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 4 ways, for example, as 199814364036 + 1195638084 = 447006^2 + 34578^2 .

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 23 ways as a sum of consecutive naturals, for example, 7532101 + ... + 7558740.

Almost surely, 2^201010002120 is an apocalyptic number.

201010002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010002120 is an abundant number, since it is smaller than the sum of its proper divisors (469928833200).

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

201010002120 is a wasteful number, since it uses less digits than its factorization.

201010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090895 (or 15090888 counting only the distinct ones).

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

Adding to 201010002120 its reverse (21200010102), we get a palindrome (222210012222).

The spelling of 201010002120 in words is "two hundred one billion, ten million, two thousand, one hundred twenty".