21220112121201 has 128 divisors (see below), whose sum is σ = 39691643904000. Its totient is φ = 10924597018368.

The previous prime is 21220112121181. The next prime is 21220112121203. The reversal of 21220112121201 is 10212121102212.

21220112121201 is a `hidden beast` number, since 21 + 220 + 11 + 212 + 1 + 201 = 666.

It is not a de Polignac number, because 21220112121201 - 2¹³ = 21220112113009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21220112121203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13546035 + ... + 15031143.

It is an arithmetic number, because the mean of its divisors is an integer number (310090968000).

Almost surely, 2^{21220112121201} is an apocalyptic number.

21220112121201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21220112121201 is a deficient number, since it is larger than the sum of its proper divisors (18471531782799).

21220112121201 is a wasteful number, since it uses less digits than its factorization.

21220112121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485340 (or 1485334 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21220112121201 its reverse (10212121102212), we get a palindrome (31432233223413).

The spelling of 21220112121201 in words is "twenty-one trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".