101012221001221 has 8 divisors (see below), whose sum is σ = 107202269764224. Its totient is φ = 94849744839360.

The previous prime is 101012221001129. The next prime is 101012221001239. The reversal of 101012221001221 is 122100122210101.

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 101012221001221 - 2⁷ = 101012221001093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012221001195 and 101012221001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012221001281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6893142735 + ... + 6893157388.

It is an arithmetic number, because the mean of its divisors is an integer number (13400283720528).

Almost surely, 2^{101012221001221} is an apocalyptic number.

It is an amenable number.

101012221001221 is a deficient number, since it is larger than the sum of its proper divisors (6190048763003).

101012221001221 is a wasteful number, since it uses less digits than its factorization.

101012221001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786300571.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101012221001221 its reverse (122100122210101), we get a palindrome (223112343211322).

The spelling of 101012221001221 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one thousand, two hundred twenty-one".