101012001001221 has 8 divisors (see below), whose sum is σ = 134684504134240. Its totient is φ = 67340415934512.

The previous prime is 101012001001199. The next prime is 101012001001271. The reversal of 101012001001221 is 122100100210101.

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

It is not a de Polignac number, because 101012001001221 - 2⁴⁵ = 65827628912389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012001001197 and 101012001001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012001001271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229259806 + ... + 229699983.

It is an arithmetic number, because the mean of its divisors is an integer number (16835563016780).

Almost surely, 2^{101012001001221} is an apocalyptic number.

It is an amenable number.

101012001001221 is a deficient number, since it is larger than the sum of its proper divisors (33672503133019).

101012001001221 is an equidigital number, since it uses as much as digits as its factorization.

101012001001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459033155.

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

Adding to 101012001001221 its reverse (122100100210101), we get a palindrome (223112101211322).

The spelling of 101012001001221 in words is "one hundred one trillion, twelve billion, one million, one thousand, two hundred twenty-one".