20101101021221 has 16 divisors (see below), whose sum is σ = 22174999691328. Its totient is φ = 18069428160000.

The previous prime is 20101101021203. The next prime is 20101101021299. The reversal of 20101101021221 is 12212010110102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101101021221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101101021196 and 20101101021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101101021721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28100780 + ... + 28807221.

It is an arithmetic number, because the mean of its divisors is an integer number (1385937480708).

Almost surely, 2^{20101101021221} is an apocalyptic number.

It is an amenable number.

20101101021221 is a deficient number, since it is larger than the sum of its proper divisors (2073898670107).

20101101021221 is a wasteful number, since it uses less digits than its factorization.

20101101021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56908372.

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

Adding to 20101101021221 its reverse (12212010110102), we get a palindrome (32313111131323).

It can be divided in two parts, 2010110102 and 1221, that multiplied together give a palindrome (2454344434542).

The spelling of 20101101021221 in words is "twenty trillion, one hundred one billion, one hundred one million, twenty-one thousand, two hundred twenty-one".