21100122111201 has 16 divisors (see below), whose sum is σ = 33021555325824. Its totient is φ = 11731342022784.

The previous prime is 21100122111161. The next prime is 21100122111379. The reversal of 21100122111201 is 10211122100112.

It is a happy number.

It is not a de Polignac number, because 21100122111201 - 2¹⁷ = 21100121980129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100122111701) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13577941380 + ... + 13577942933.

It is an arithmetic number, because the mean of its divisors is an integer number (2063847207864).

Almost surely, 2^{21100122111201} is an apocalyptic number.

21100122111201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21100122111201 is a deficient number, since it is larger than the sum of its proper divisors (11921433214623).

21100122111201 is a wasteful number, since it uses less digits than its factorization.

21100122111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27155884360.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21100122111201 its reverse (10211122100112), we get a palindrome (31311244211313).

The spelling of 21100122111201 in words is "twenty-one trillion, one hundred billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".