26021114100 has 108 divisors (see below), whose sum is σ = 81781455756. Its totient is φ = 6920271360.

The previous prime is 26021114081. The next prime is 26021114123. The reversal of 26021114100 is 141112062.

It can be written as a sum of positive squares in 6 ways, for example, as 761097744 + 25260016356 = 27588^2 + 158934^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296944 + ... + 374456.

Almost surely, 2^26021114100 is an apocalyptic number.

26021114100 is a gapful number since it is divisible by the number (20) 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 26021114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890727878).

26021114100 is an abundant number, since it is smaller than the sum of its proper divisors (55760341656).

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

26021114100 is a wasteful number, since it uses less digits than its factorization.

26021114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77906 (or 77896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 26021114100 its reverse (141112062), we get a palindrome (26162226162).

The spelling of 26021114100 in words is "twenty-six billion, twenty-one million, one hundred fourteen thousand, one hundred".