210011221001001 has 96 divisors (see below), whose sum is σ = 349174631623680. Its totient is φ = 109882666589184.

The previous prime is 210011221000913. The next prime is 210011221001003. The reversal of 210011221001001 is 100100122110012.

It is not a de Polignac number, because 210011221001001 - 2⁹ = 210011221000489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210011221001003) 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 95 ways as a sum of consecutive naturals, for example, 2303643646 + ... + 2303734808.

It is an arithmetic number, because the mean of its divisors is an integer number (3637235746080).

Almost surely, 2^{210011221001001} is an apocalyptic number.

210011221001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210011221001001 is a deficient number, since it is larger than the sum of its proper divisors (139163410622679).

210011221001001 is a wasteful number, since it uses less digits than its factorization.

210011221001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101503 (or 101486 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210011221001001 its reverse (100100122110012), we get a palindrome (310111343111013).

The spelling of 210011221001001 in words is "two hundred ten trillion, eleven billion, two hundred twenty-one million, one thousand, one".