20111212102101 has 32 divisors (see below), whose sum is σ = 28390830881280. Its totient is φ = 12627769752000.

The previous prime is 20111212102067. The next prime is 20111212102103. The reversal of 20111212102101 is 10120121211102.

It is a happy number.

It is not a de Polignac number, because 20111212102101 - 2¹⁴ = 20111212085717 is a prime.

It is a super-2 number, since 2×20111212102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111212102103) 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 31 ways as a sum of consecutive naturals, for example, 273024126 + ... + 273097776.

It is an arithmetic number, because the mean of its divisors is an integer number (887213465040).

Almost surely, 2^{20111212102101} is an apocalyptic number.

It is an amenable number.

20111212102101 is a deficient number, since it is larger than the sum of its proper divisors (8279618779179).

20111212102101 is a wasteful number, since it uses less digits than its factorization.

20111212102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101537.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20111212102101 its reverse (10120121211102), we get a palindrome (30231333313203).

The spelling of 20111212102101 in words is "twenty trillion, one hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred one".