101221201216001 has 8 divisors (see below), whose sum is σ = 103968074667264. Its totient is φ = 98474915412720.

The previous prime is 101221201215989. The next prime is 101221201216013. The reversal of 101221201216001 is 100612102122101.

It is an interprime number because it is at equal distance from previous prime (101221201215989) and next prime (101221201216013).

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 101221201216001 - 2¹⁰ = 101221201214977 is a prime.

It is a super-2 number, since 2×101221201216001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221201216081) 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, 146562815 + ... + 147251828.

It is an arithmetic number, because the mean of its divisors is an integer number (12996009333408).

Almost surely, 2^{101221201216001} is an apocalyptic number.

It is an amenable number.

101221201216001 is a deficient number, since it is larger than the sum of its proper divisors (2746873451263).

101221201216001 is an equidigital number, since it uses as much as digits as its factorization.

101221201216001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293823991.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101221201216001 its reverse (100612102122101), we get a palindrome (201833303338102).

The spelling of 101221201216001 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, two hundred sixteen thousand, one".