201142121031 has 12 divisors (see below), whose sum is σ = 297624927600. Its totient is φ = 130824143520.

The previous prime is 201142121021. The next prime is 201142121057. The reversal of 201142121031 is 130121241102.

201142121031 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 421 + 210 + 31 = 666.

It is not a de Polignac number, because 201142121031 - 2¹³ = 201142112839 is a prime.

It is a super-2 number, since 2×201142121031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201142120995 and 201142121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201142121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272549931 + ... + 272550668.

It is an arithmetic number, because the mean of its divisors is an integer number (24802077300).

Almost surely, 2^201142121031 is an apocalyptic number.

201142121031 is a deficient number, since it is larger than the sum of its proper divisors (96482806569).

201142121031 is a wasteful number, since it uses less digits than its factorization.

201142121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545100646 (or 545100643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201142121031 its reverse (130121241102), we get a palindrome (331263362133).

The spelling of 201142121031 in words is "two hundred one billion, one hundred forty-two million, one hundred twenty-one thousand, thirty-one".