201031003201122 has 12 divisors (see below), whose sum is σ = 435567173602470. Its totient is φ = 67010334400368.

The previous prime is 201031003201037. The next prime is 201031003201141. The reversal of 201031003201122 is 221102300130102.

201031003201122 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 310 + 0 + 320 + 11 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195141649814721 + 5889353386401 = 13969311^2 + 2426799^2 .

It is a super-2 number, since 2×201031003201122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11168389066729 = 201031003201122 / (2 + 0 + 1 + 0 + 3 + 1 + 0 + 0 + 3 + 2 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 201031003201095 and 201031003201104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5584194533347 + ... + 5584194533382.

Almost surely, 2^{201031003201122} is an apocalyptic number.

201031003201122 is an abundant number, since it is smaller than the sum of its proper divisors (234536170401348).

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

201031003201122 is a wasteful number, since it uses less digits than its factorization.

201031003201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168389066737 (or 11168389066734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201031003201122 its reverse (221102300130102), we get a palindrome (422133303331224).

The spelling of 201031003201122 in words is "two hundred one trillion, thirty-one billion, three million, two hundred one thousand, one hundred twenty-two".