10111122210100 has 36 divisors (see below), whose sum is σ = 22167332487244. Its totient is φ = 4002753530880.

The previous prime is 10111122210061. The next prime is 10111122210103. The reversal of 10111122210100 is 101222111101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 235275442704 + 9875846767396 = 485052^2 + 3142586^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521182167 + ... + 521201566.

Almost surely, 2^{10111122210100} is an apocalyptic number.

10111122210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111122210100 is an abundant number, since it is smaller than the sum of its proper divisors (12056210277144).

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

10111122210100 is a wasteful number, since it uses less digits than its factorization.

10111122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042383844 (or 1042383837 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10111122210100 its reverse (101222111101), we get a palindrome (10212344321201).

The spelling of 10111122210100 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred".