101012221110001 has 2 divisors, whose sum is σ = 101012221110002. Its totient is φ = 101012221110000.

The previous prime is 101012221109999. The next prime is 101012221110079. The reversal of 101012221110001 is 100011122210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79532935679376 + 21479285430625 = 8918124^2 + 4634575^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012221110001 - 2¹ = 101012221109999 is a prime.

Together with 101012221109999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101012221119001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506110555000 + 50506110555001.

It is an arithmetic number, because the mean of its divisors is an integer number (50506110555001).

Almost surely, 2^{101012221110001} is an apocalyptic number.

It is an amenable number.

101012221110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012221110001 is an equidigital number, since it uses as much as digits as its factorization.

101012221110001 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 101012221110001 its reverse (100011122210101), we get a palindrome (201023343320102).

The spelling of 101012221110001 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one hundred ten thousand, one".