101022012001221 has 16 divisors (see below), whose sum is σ = 135173080854336. Its totient is φ = 67109479474176.

The previous prime is 101022012001147. The next prime is 101022012001241. The reversal of 101022012001221 is 122100210220101.

It is not a de Polignac number, because 101022012001221 - 2⁷ = 101022012001093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101022012001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022012001241) 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, 121070181 + ... + 121901733.

It is an arithmetic number, because the mean of its divisors is an integer number (8448317553396).

Almost surely, 2^{101022012001221} is an apocalyptic number.

It is an amenable number.

101022012001221 is a deficient number, since it is larger than the sum of its proper divisors (34151068853115).

101022012001221 is a wasteful number, since it uses less digits than its factorization.

101022012001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974932.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022012001221 its reverse (122100210220101), we get a palindrome (223122222221322).

The spelling of 101022012001221 in words is "one hundred one trillion, twenty-two billion, twelve million, one thousand, two hundred twenty-one".