1011121010031 has 16 divisors (see below), whose sum is σ = 1470899340288. Its totient is φ = 612726499200.

The previous prime is 1011121009991. The next prime is 1011121010117. The reversal of 1011121010031 is 1300101211101.

It is not a de Polignac number, because 1011121010031 - 2¹⁰ = 1011121009007 is a prime.

It is a super-2 number, since 2×1011121010031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011121009989 and 1011121010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011121014031) 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 15 ways as a sum of consecutive naturals, for example, 1575210 + ... + 2122151.

It is an arithmetic number, because the mean of its divisors is an integer number (91931208768).

Almost surely, 2^{1011121010031} is an apocalyptic number.

1011121010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011121010031 is a deficient number, since it is larger than the sum of its proper divisors (459778330257).

1011121010031 is a wasteful number, since it uses less digits than its factorization.

1011121010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705662.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1011121010031 its reverse (1300101211101), we get a palindrome (2311222221132).

The spelling of 1011121010031 in words is "one trillion, eleven billion, one hundred twenty-one million, ten thousand, thirty-one".