11111000101002 has 24 divisors (see below), whose sum is σ = 24074057107620. Its totient is φ = 3703632307200.

The previous prime is 11111000100971. The next prime is 11111000101027. The reversal of 11111000101002 is 20010100011111.

11111000101002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10893900949281 + 217099151721 = 3300591^2 + 465939^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 834999 + ... + 4787402.

Almost surely, 2^{11111000101002} is an apocalyptic number.

11111000101002 is an abundant number, since it is smaller than the sum of its proper divisors (12963057006618).

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

11111000101002 is a wasteful number, since it uses less digits than its factorization.

11111000101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732198 (or 5732195 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11111000101002 its reverse (20010100011111), we get a palindrome (31121100112113).

The spelling of 11111000101002 in words is "eleven trillion, one hundred eleven billion, one hundred one thousand, two".