1111111010100 has 1080 divisors, whose sum is σ = 4497918738040. Its totient is φ = 227882833920.

The previous prime is 1111111010081. The next prime is 1111111010101. The reversal of 1111111010100 is 10101111111.

It can be written as a sum of positive squares in 12 ways, for example, as 272941463844 + 838169546256 = 522438^2 + 915516^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111010101) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1039392366 + ... + 1039393434.

Almost surely, 2^{1111111010100} is an apocalyptic number.

1111111010100 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 1111111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248959369020).

1111111010100 is an abundant number, since it is smaller than the sum of its proper divisors (3386807727940).

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

1111111010100 is a wasteful number, since it uses less digits than its factorization.

1111111010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1111111010100 its reverse (10101111111), we get a palindrome (1121212121211).

It can be divided in two parts, 111111 and 1010100, that added together give a palindrome (1121211).

The spelling of 1111111010100 in words is "one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred".