21142999987201 has 24 divisors (see below), whose sum is σ = 21794949177624. Its totient is φ = 20506737377280.

The previous prime is 21142999987199. The next prime is 21142999987229. The reversal of 21142999987201 is 10278999924112.

It can be written as a sum of positive squares in 12 ways, for example, as 19728032640625 + 1414967346576 = 4441625^2 + 1189524^2 .

It is not a de Polignac number, because 21142999987201 - 2¹ = 21142999987199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21142999985201) 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 23 ways as a sum of consecutive naturals, for example, 86700321 + ... + 86943841.

It is an arithmetic number, because the mean of its divisors is an integer number (908122882401).

Almost surely, 2^{21142999987201} is an apocalyptic number.

It is an amenable number.

21142999987201 is a deficient number, since it is larger than the sum of its proper divisors (651949190423).

21142999987201 is an equidigital number, since it uses as much as digits as its factorization.

21142999987201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243909 (or 243820 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 64.

The spelling of 21142999987201 in words is "twenty-one trillion, one hundred forty-two billion, nine hundred ninety-nine million, nine hundred eighty-seven thousand, two hundred one".