10211012210101 has 2 divisors, whose sum is σ = 10211012210102. Its totient is φ = 10211012210100.

The previous prime is 10211012210089. The next prime is 10211012210107. The reversal of 10211012210101 is 10101221011201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9944499180100 + 266513030001 = 3153490^2 + 516249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211012210101 - 2²⁷ = 10210877992373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211012210107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105506105050 + 5105506105051.

It is an arithmetic number, because the mean of its divisors is an integer number (5105506105051).

Almost surely, 2^{10211012210101} is an apocalyptic number.

It is an amenable number.

10211012210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211012210101 is an equidigital number, since it uses as much as digits as its factorization.

10211012210101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211012210101 its reverse (10101221011201), we get a palindrome (20312233221302).

The spelling of 10211012210101 in words is "ten trillion, two hundred eleven billion, twelve million, two hundred ten thousand, one hundred one".