1020111110031 has 16 divisors (see below), whose sum is σ = 1512025733120. Its totient is φ = 607510337760.

The previous prime is 1020111110003. The next prime is 1020111110059. The reversal of 1020111110031 is 1300111110201.

It is an interprime number because it is at equal distance from previous prime (1020111110003) and next prime (1020111110059).

It is not a de Polignac number, because 1020111110031 - 2¹⁴ = 1020111093647 is a prime.

It is a super-2 number, since 2×1020111110031² (a number of 25 digits) contains 22 as substring.

It is the 1010006-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020111109989 and 1020111110016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020111010031) by changing a digit.

It is a nontrivial repunit in base 1010005.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421880971 + ... + 421883388.

It is an arithmetic number, because the mean of its divisors is an integer number (94501608320).

Almost surely, 2^{1020111110031} is an apocalyptic number.

1020111110031 is a deficient number, since it is larger than the sum of its proper divisors (491914623089).

1020111110031 is a wasteful number, since it uses less digits than its factorization.

1020111110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843764406.

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

Adding to 1020111110031 its reverse (1300111110201), we get a palindrome (2320222220232).

The spelling of 1020111110031 in words is "one trillion, twenty billion, one hundred eleven million, one hundred ten thousand, thirty-one".