1031121111020 has 288 divisors, whose sum is σ = 3061300495680. Its totient is φ = 286435215360.

The previous prime is 1031121111001. The next prime is 1031121111061. The reversal of 1031121111020 is 201111211301.

It is a super-2 number, since 2×1031121111020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1031121110986 and 1031121111004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3937202 + ... + 4190918.

It is an arithmetic number, because the mean of its divisors is an integer number (10629515610).

Almost surely, 2^{1031121111020} is an apocalyptic number.

1031121111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031121111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530650247840).

1031121111020 is an abundant number, since it is smaller than the sum of its proper divisors (2030179384660).

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

1031121111020 is a wasteful number, since it uses less digits than its factorization.

1031121111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253793 (or 253784 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1031121111020 its reverse (201111211301), we get a palindrome (1232232322321).

The spelling of 1031121111020 in words is "one trillion, thirty-one billion, one hundred twenty-one million, one hundred eleven thousand, twenty".