21111010121201 has 96 divisors (see below), whose sum is σ = 28957360674816. Its totient is φ = 15128833104000.

The previous prime is 21111010121189. The next prime is 21111010121219. The reversal of 21111010121201 is 10212101011112.

It is not a de Polignac number, because 21111010121201 - 2⁴² = 16712963610097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21111010121261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6983461976 + ... + 6983464998.

It is an arithmetic number, because the mean of its divisors is an integer number (301639173696).

Almost surely, 2^{21111010121201} is an apocalyptic number.

It is an amenable number.

21111010121201 is a deficient number, since it is larger than the sum of its proper divisors (7846350553615).

21111010121201 is a wasteful number, since it uses less digits than its factorization.

21111010121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21111010121201 its reverse (10212101011112), we get a palindrome (31323111132313).

The spelling of 21111010121201 in words is "twenty-one trillion, one hundred eleven billion, ten million, one hundred twenty-one thousand, two hundred one".