1120111002100 has 36 divisors (see below), whose sum is σ = 2430738696204. Its totient is φ = 448026369280.

The previous prime is 1120111002067. The next prime is 1120111002133. The reversal of 1120111002100 is 12001110211.

It is an interprime number because it is at equal distance from previous prime (1120111002067) and next prime (1120111002133).

It can be written as a sum of positive squares in 6 ways, for example, as 20553236496 + 1099557765604 = 143364^2 + 1048598^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2427102 + ... + 2851498.

It is an arithmetic number, because the mean of its divisors is an integer number (67520519339).

Almost surely, 2^{1120111002100} is an apocalyptic number.

1120111002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120111002100 is an abundant number, since it is smaller than the sum of its proper divisors (1310627694104).

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

1120111002100 is a wasteful number, since it uses less digits than its factorization.

1120111002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450804 (or 450797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1120111002100 its reverse (12001110211), we get a palindrome (1132112112311).

It can be divided in two parts, 112011 and 1002100, that added together give a palindrome (1114111).

The spelling of 1120111002100 in words is "one trillion, one hundred twenty billion, one hundred eleven million, two thousand, one hundred".