1120100035104 has 144 divisors (see below), whose sum is σ = 3216663888984. Its totient is φ = 369706291200.

The previous prime is 1120100035079. The next prime is 1120100035129. The reversal of 1120100035104 is 4015300010211.

It is an interprime number because it is at equal distance from previous prime (1120100035079) and next prime (1120100035129).

It can be written as a sum of positive squares in 4 ways, for example, as 353249545104 + 766850490000 = 594348^2 + 875700^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12099714 + ... + 12191934.

Almost surely, 2^{1120100035104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120100035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608331944492).

1120100035104 is an abundant number, since it is smaller than the sum of its proper divisors (2096563853880).

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

1120100035104 is a wasteful number, since it uses less digits than its factorization.

1120100035104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92651 (or 92640 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1120100035104 its reverse (4015300010211), we get a palindrome (5135400045315).

The spelling of 1120100035104 in words is "one trillion, one hundred twenty billion, one hundred million, thirty-five thousand, one hundred four".