101012200021221 has 64 divisors (see below), whose sum is σ = 140810149509120. Its totient is φ = 64352764465920.

The previous prime is 101012200021219. The next prime is 101012200021307. The reversal of 101012200021221 is 122120002210101.

It is not a de Polignac number, because 101012200021221 - 2¹ = 101012200021219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101012200021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012200025221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8873946696 + ... + 8873958078.

It is an arithmetic number, because the mean of its divisors is an integer number (2200158586080).

Almost surely, 2^{101012200021221} is an apocalyptic number.

It is an amenable number.

101012200021221 is a deficient number, since it is larger than the sum of its proper divisors (39797949487899).

101012200021221 is a wasteful number, since it uses less digits than its factorization.

101012200021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066.

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

Adding to 101012200021221 its reverse (122120002210101), we get a palindrome (223132202231322).

The spelling of 101012200021221 in words is "one hundred one trillion, twelve billion, two hundred million, twenty-one thousand, two hundred twenty-one".