101221272122101 has 16 divisors (see below), whose sum is σ = 103791684446208. Its totient is φ = 98660718802800.

The previous prime is 101221272122053. The next prime is 101221272122123.

It is a happy number.

101221272122101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101221272122101 - 2⁹ = 101221272121589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221272122501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435043740 + ... + 435276346.

It is an arithmetic number, because the mean of its divisors is an integer number (6486980277888).

Almost surely, 2^{101221272122101} is an apocalyptic number.

It is an amenable number.

101221272122101 is a deficient number, since it is larger than the sum of its proper divisors (2570412324107).

101221272122101 is a wasteful number, since it uses less digits than its factorization.

101221272122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253752.

The product of its (nonzero) digits is 448, while the sum is 25.

The spelling of 101221272122101 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred seventy-two million, one hundred twenty-two thousand, one hundred one".