1011022101101 has 2 divisors, whose sum is σ = 1011022101102. Its totient is φ = 1011022101100.

The previous prime is 1011022100993. The next prime is 1011022101137. The reversal of 1011022101101 is 1011012201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 567952147876 + 443069953225 = 753626^2 + 665635^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011022101101 - 2²² = 1011017906797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011022101191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505511050550 + 505511050551.

It is an arithmetic number, because the mean of its divisors is an integer number (505511050551).

Almost surely, 2^{1011022101101} is an apocalyptic number.

It is an amenable number.

1011022101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011022101101 is an equidigital number, since it uses as much as digits as its factorization.

1011022101101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1011022101101 its reverse (1011012201101), we get a palindrome (2022034302202).

The spelling of 1011022101101 in words is "one trillion, eleven billion, twenty-two million, one hundred one thousand, one hundred one".