10211111212101 has 16 divisors (see below), whose sum is σ = 13931740705344. Its totient is φ = 6648951464064.

The previous prime is 10211111212079. The next prime is 10211111212109. The reversal of 10211111212101 is 10121211111201.

It is not a de Polignac number, because 10211111212101 - 2¹⁵ = 10211111179333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211111212109) 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, 5282115 + ... + 6951471.

It is an arithmetic number, because the mean of its divisors is an integer number (870733794084).

Almost surely, 2^{10211111212101} is an apocalyptic number.

It is an amenable number.

10211111212101 is a deficient number, since it is larger than the sum of its proper divisors (3720629493243).

10211111212101 is a wasteful number, since it uses less digits than its factorization.

10211111212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716820.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10211111212101 its reverse (10121211111201), we get a palindrome (20332322323302).

The spelling of 10211111212101 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, two hundred twelve thousand, one hundred one".