101221112001 has 4 divisors (see below), whose sum is σ = 134961482672. Its totient is φ = 67480741332.

The previous prime is 101221111987. The next prime is 101221112011. The reversal of 101221112001 is 100211122101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101221112001 - 2¹¹ = 101221109953 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101221112011) 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 3 ways as a sum of consecutive naturals, for example, 16870185331 + ... + 16870185336.

It is an arithmetic number, because the mean of its divisors is an integer number (33740370668).

Almost surely, 2^101221112001 is an apocalyptic number.

It is an amenable number.

101221112001 is a deficient number, since it is larger than the sum of its proper divisors (33740370671).

101221112001 is an equidigital number, since it uses as much as digits as its factorization.

101221112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33740370670.

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

Adding to 101221112001 its reverse (100211122101), we get a palindrome (201432234102).

The spelling of 101221112001 in words is "one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one".