20101012112221 has 16 divisors (see below), whose sum is σ = 20549404753920. Its totient is φ = 19657283128560.

The previous prime is 20101012112191. The next prime is 20101012112227. The reversal of 20101012112221 is 12221121010102.

It is a cyclic number.

It is not a de Polignac number, because 20101012112221 - 2¹⁵ = 20101012079453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101012112195 and 20101012112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101012112227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38867880 + ... + 39381646.

It is an arithmetic number, because the mean of its divisors is an integer number (1284337797120).

Almost surely, 2^{20101012112221} is an apocalyptic number.

It is an amenable number.

20101012112221 is a deficient number, since it is larger than the sum of its proper divisors (448392641699).

20101012112221 is a wasteful number, since it uses less digits than its factorization.

20101012112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518304.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20101012112221 its reverse (12221121010102), we get a palindrome (32322133122323).

The spelling of 20101012112221 in words is "twenty trillion, one hundred one billion, twelve million, one hundred twelve thousand, two hundred twenty-one".