221011121012101 has 16 divisors (see below), whose sum is σ = 254142885113344. Its totient is φ = 188269127313264.

The previous prime is 221011121012089. The next prime is 221011121012177. The reversal of 221011121012101 is 101210121110122.

It is a cyclic number.

It is not a de Polignac number, because 221011121012101 - 2¹⁵ = 221011120979333 is a prime.

It is a super-2 number, since 2×221011121012101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011121012501) 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 15 ways as a sum of consecutive naturals, for example, 28341070 + ... + 35287936.

It is an arithmetic number, because the mean of its divisors is an integer number (15883930319584).

Almost surely, 2^{221011121012101} is an apocalyptic number.

It is an amenable number.

221011121012101 is a deficient number, since it is larger than the sum of its proper divisors (33131764101243).

221011121012101 is a wasteful number, since it uses less digits than its factorization.

221011121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974920.

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

Adding to 221011121012101 its reverse (101210121110122), we get a palindrome (322221242122223).

The spelling of 221011121012101 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-one million, twelve thousand, one hundred one".