201101120201000 has 64 divisors (see below), whose sum is σ = 470643738299280. Its totient is φ = 80428975084800.

The previous prime is 201101120200987. The next prime is 201101120201017. The reversal of 201101120201000 is 102021101102.

201101120201000 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 90937227364 + 201010182973636 = 301558^2 + 14177806^2 .

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, 7324739 + ... + 21350738.

Almost surely, 2^{201101120201000} is an apocalyptic number.

201101120201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101120201000 is an abundant number, since it is smaller than the sum of its proper divisors (269542618098280).

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

201101120201000 is a wasteful number, since it uses less digits than its factorization.

201101120201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28682511 (or 28682497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201101120201000 its reverse (102021101102), we get a palindrome (201203141302102).

The spelling of 201101120201000 in words is "two hundred one trillion, one hundred one billion, one hundred twenty million, two hundred one thousand".