1010211120101 has 2 divisors, whose sum is σ = 1010211120102. Its totient is φ = 1010211120100.

The previous prime is 1010211120091. The next prime is 1010211120103.

1010211120101 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004903997601 + 5307122500 = 1002449^2 + 72850^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010211120101 is a prime.

Together with 1010211120103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010211120103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505105560050 + 505105560051.

It is an arithmetic number, because the mean of its divisors is an integer number (505105560051).

Almost surely, 2^{1010211120101} is an apocalyptic number.

It is an amenable number.

1010211120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010211120101 is an equidigital number, since it uses as much as digits as its factorization.

1010211120101 is an evil number, because the sum of its binary digits is even.

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

Multiplying 1010211120101 by its sum of digits (11), we get a palindrome (11112322321111).

The spelling of 1010211120101 in words is "one trillion, ten billion, two hundred eleven million, one hundred twenty thousand, one hundred one".