201001100002120 has 48 divisors (see below), whose sum is σ = 497103960141180. Its totient is φ = 73091309089920.

The previous prime is 201001100002091. The next prime is 201001100002169. The reversal of 201001100002120 is 21200001100102.

201001100002120 is digitally balanced in base 2, 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 2 ways, for example, as 163072031641156 + 37929068360964 = 12769966^2 + 6158658^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201001100002097 and 201001100002106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20764571607 + ... + 20764581286.

Almost surely, 2^{201001100002120} is an apocalyptic number.

201001100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001100002120 is an abundant number, since it is smaller than the sum of its proper divisors (296102860139060).

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

201001100002120 is a wasteful number, since it uses less digits than its factorization.

201001100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41529152926 (or 41529152911 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201001100002120 its reverse (21200001100102), we get a palindrome (222201101102222).

The spelling of 201001100002120 in words is "two hundred one trillion, one billion, one hundred million, two thousand, one hundred twenty".