21100011222113 has 32 divisors (see below), whose sum is σ = 22649352192000. Its totient is φ = 19598464529280.

The previous prime is 21100011222089. The next prime is 21100011222167. The reversal of 21100011222113 is 31122211000112.

It is a happy number.

It is not a de Polignac number, because 21100011222113 - 2³⁰ = 21098937480289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100011222091 and 21100011222100.

It is not an unprimeable number, because it can be changed into a prime (21100011222613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163062506 + ... + 163191852.

It is an arithmetic number, because the mean of its divisors is an integer number (707792256000).

Almost surely, 2^{21100011222113} is an apocalyptic number.

It is an amenable number.

21100011222113 is a deficient number, since it is larger than the sum of its proper divisors (1549340969887).

21100011222113 is a wasteful number, since it uses less digits than its factorization.

21100011222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130205.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21100011222113 its reverse (31122211000112), we get a palindrome (52222222222225).

The spelling of 21100011222113 in words is "twenty-one trillion, one hundred billion, eleven million, two hundred twenty-two thousand, one hundred thirteen".