10000022111100 has 270 divisors, whose sum is σ = 37708550482680. Its totient is φ = 2285719248960.

The previous prime is 10000022111087. The next prime is 10000022111119. The reversal of 10000022111100 is 111122000001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-4 number, since 4×10000022111100⁴ (a number of 53 digits) contains 4444 as substring.

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

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 89 ways as a sum of consecutive naturals, for example, 12200760 + ... + 12994559.

It is an arithmetic number, because the mean of its divisors is an integer number (139661298084).

Almost surely, 2^{10000022111100} is an apocalyptic number.

10000022111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000022111100 is an abundant number, since it is smaller than the sum of its proper divisors (27708528371580).

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

10000022111100 is a wasteful number, since it uses less digits than its factorization.

10000022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25195359 (or 25195336 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000022111100 its reverse (111122000001), we get a palindrome (10111144111101).

The spelling of 10000022111100 in words is "ten trillion, twenty-two million, one hundred eleven thousand, one hundred".