201001001200120 has 128 divisors (see below), whose sum is σ = 515417049262080. Its totient is φ = 69881279040000.

The previous prime is 201001001200099. The next prime is 201001001200157. The reversal of 201001001200120 is 21002100100102.

201001001200120 is digitally balanced in base 3, 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 = 201001001200097 and 201001001200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87639831 + ... + 89904070.

It is an arithmetic number, because the mean of its divisors is an integer number (4026695697360).

Almost surely, 2^{201001001200120} is an apocalyptic number.

201001001200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001001200120 is an abundant number, since it is smaller than the sum of its proper divisors (314416048061960).

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

201001001200120 is a wasteful number, since it uses less digits than its factorization.

201001001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177544037 (or 177544033 counting only the distinct ones).

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

Adding to 201001001200120 its reverse (21002100100102), we get a palindrome (222003101300222).

The spelling of 201001001200120 in words is "two hundred one trillion, one billion, one million, two hundred thousand, one hundred twenty".