201010001002120 has 64 divisors (see below), whose sum is σ = 462924043488000. Its totient is φ = 78518013235200.

The previous prime is 201010001002117. The next prime is 201010001002157. The reversal of 201010001002120 is 21200100010102.

201010001002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201010001002097 and 201010001002106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118220706 + ... + 119908945.

It is an arithmetic number, because the mean of its divisors is an integer number (7233188179500).

Almost surely, 2^{201010001002120} is an apocalyptic number.

201010001002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010001002120 is an abundant number, since it is smaller than the sum of its proper divisors (261914042485880).

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

201010001002120 is a wasteful number, since it uses less digits than its factorization.

201010001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238130158 (or 238130154 counting only the distinct ones).

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

Adding to 201010001002120 its reverse (21200100010102), we get a palindrome (222210101012222).

The spelling of 201010001002120 in words is "two hundred one trillion, ten billion, one million, two thousand, one hundred twenty".