201001021112331 has 48 divisors (see below), whose sum is σ = 325747925898720. Its totient is φ = 118359225077760.

The previous prime is 201001021112317. The next prime is 201001021112369. The reversal of 201001021112331 is 133211120100102.

201001021112331 is a `hidden beast` number, since 2 + 0 + 100 + 10 + 211 + 12 + 331 = 666.

It is not a de Polignac number, because 201001021112331 - 2⁶ = 201001021112267 is a prime.

It is a super-2 number, since 2×201001021112331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201001021152331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36100630 + ... + 41294763.

It is an arithmetic number, because the mean of its divisors is an integer number (6786415122890).

Almost surely, 2^{201001021112331} is an apocalyptic number.

201001021112331 is a deficient number, since it is larger than the sum of its proper divisors (124746904786389).

201001021112331 is a wasteful number, since it uses less digits than its factorization.

201001021112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77396156 (or 77396153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201001021112331 its reverse (133211120100102), we get a palindrome (334212141212433).

The spelling of 201001021112331 in words is "two hundred one trillion, one billion, twenty-one million, one hundred twelve thousand, three hundred thirty-one".