101012122020221 has 16 divisors (see below), whose sum is σ = 102872066921088. Its totient is φ = 99158944046400.

The previous prime is 101012122020197. The next prime is 101012122020233. The reversal of 101012122020221 is 122020221210101.

It is a cyclic number.

It is not a de Polignac number, because 101012122020221 - 2³⁰ = 101011048278397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012122020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012122020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64481570 + ... + 66029516.

It is an arithmetic number, because the mean of its divisors is an integer number (6429504182568).

Almost surely, 2^{101012122020221} is an apocalyptic number.

It is an amenable number.

101012122020221 is a deficient number, since it is larger than the sum of its proper divisors (1859944900867).

101012122020221 is a wasteful number, since it uses less digits than its factorization.

101012122020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550132.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101012122020221 its reverse (122020221210101), we get a palindrome (223032343230322).

The spelling of 101012122020221 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, twenty thousand, two hundred twenty-one".