20121020102101 has 16 divisors (see below), whose sum is σ = 20613737664000. Its totient is φ = 19631052609408.

The previous prime is 20121020102077. The next prime is 20121020102119. The reversal of 20121020102101 is 10120102012102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20121020102101 is a prime.

It is a super-2 number, since 2×20121020102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121020102401) 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, 31736200 + ... + 32363998.

It is an arithmetic number, because the mean of its divisors is an integer number (1288358604000).

Almost surely, 2^{20121020102101} is an apocalyptic number.

It is an amenable number.

20121020102101 is a deficient number, since it is larger than the sum of its proper divisors (492717561899).

20121020102101 is a wasteful number, since it uses less digits than its factorization.

20121020102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629988.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20121020102101 its reverse (10120102012102), we get a palindrome (30241122114203).

The spelling of 20121020102101 in words is "twenty trillion, one hundred twenty-one billion, twenty million, one hundred two thousand, one hundred one".