101221312001 has 8 divisors (see below), whose sum is σ = 105511032000. Its totient is φ = 96984880720.

The previous prime is 101221311959. The next prime is 101221312019. The reversal of 101221312001 is 100213122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101221312001 - 2³⁴ = 84041442817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221312021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13318301 + ... + 13325898.

It is an arithmetic number, because the mean of its divisors is an integer number (13188879000).

Almost surely, 2^101221312001 is an apocalyptic number.

It is an amenable number.

101221312001 is a deficient number, since it is larger than the sum of its proper divisors (4289719999).

101221312001 is a wasteful number, since it uses less digits than its factorization.

101221312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26644359.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101221312001 its reverse (100213122101), we get a palindrome (201434434102).

The spelling of 101221312001 in words is "one hundred one billion, two hundred twenty-one million, three hundred twelve thousand, one".