101011220001221 has 32 divisors (see below), whose sum is σ = 104663055716352. Its totient is φ = 97431224673600.

The previous prime is 101011220001079. The next prime is 101011220001227. The reversal of 101011220001221 is 122100022110101.

It is a cyclic number.

It is not a de Polignac number, because 101011220001221 - 2²⁶ = 101011152892357 is a prime.

It is a super-2 number, since 2×101011220001221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011220001196 and 101011220001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011220001227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8089304240 + ... + 8089316726.

It is an arithmetic number, because the mean of its divisors is an integer number (3270720491136).

Almost surely, 2^{101011220001221} is an apocalyptic number.

It is an amenable number.

101011220001221 is a deficient number, since it is larger than the sum of its proper divisors (3651835715131).

101011220001221 is a wasteful number, since it uses less digits than its factorization.

101011220001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011220001221 its reverse (122100022110101), we get a palindrome (223111242111322).

The spelling of 101011220001221 in words is "one hundred one trillion, eleven billion, two hundred twenty million, one thousand, two hundred twenty-one".