10212111111101 has 8 divisors (see below), whose sum is σ = 10314130693944. Its totient is φ = 10110109363200.

The previous prime is 10212111111029. The next prime is 10212111111113. The reversal of 10212111111101 is 10111111121201.

It can be written as a sum of positive squares in 4 ways, for example, as 2370845460025 + 7841265651076 = 1539755^2 + 2800226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10212111111101 - 2²² = 10212106916797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212111111901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3306356 + ... + 5599661.

It is an arithmetic number, because the mean of its divisors is an integer number (1289266336743).

Almost surely, 2^{10212111111101} is an apocalyptic number.

It is an amenable number.

10212111111101 is a deficient number, since it is larger than the sum of its proper divisors (102019582843).

10212111111101 is a wasteful number, since it uses less digits than its factorization.

10212111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917471.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10212111111101 its reverse (10111111121201), we get a palindrome (20323222232302).

It can be divided in two parts, 1021211 and 1111101, that added together give a palindrome (2132312).

The spelling of 10212111111101 in words is "ten trillion, two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred one".