10212100101101 has 12 divisors (see below), whose sum is σ = 10904355937812. Its totient is φ = 9561588338688.

The previous prime is 10212100101097. The next prime is 10212100101103. The reversal of 10212100101101 is 10110100121201.

10212100101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 294576477001 + 9917523624100 = 542749^2 + 3149210^2 .

It is not a de Polignac number, because 10212100101101 - 2² = 10212100101097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212100101103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91488230 + ... + 91599783.

It is an arithmetic number, because the mean of its divisors is an integer number (908696328151).

Almost surely, 2^{10212100101101} is an apocalyptic number.

It is an amenable number.

10212100101101 is a deficient number, since it is larger than the sum of its proper divisors (692255836711).

10212100101101 is a wasteful number, since it uses less digits than its factorization.

10212100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183088240 (or 183088223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10212100101101 its reverse (10110100121201), we get a palindrome (20322200222302).

The spelling of 10212100101101 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred one thousand, one hundred one".