111111101010100 has 18 divisors (see below), whose sum is σ = 241111089192134. Its totient is φ = 44444440404000.

The previous prime is 111111101010073. The next prime is 111111101010101. The reversal of 111111101010100 is 1010101111111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 682150453776 + 110428950556324 = 825924^2 + 10508518^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111101010101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555555504951 + ... + 555555505150.

Almost surely, 2^{111111101010100} is an apocalyptic number.

111111101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111101010100 is an abundant number, since it is smaller than the sum of its proper divisors (129999988182034).

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

111111101010100 is a wasteful number, since it uses less digits than its factorization.

111111101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111111010115 (or 1111111010108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 111111101010100 its reverse (1010101111111), we get a palindrome (112121202121211).

The spelling of 111111101010100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, ten thousand, one hundred".