101011222220101 has 2 divisors, whose sum is σ = 101011222220102. Its totient is φ = 101011222220100.

The previous prime is 101011222220057. The next prime is 101011222220107. The reversal of 101011222220101 is 101022222110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100850781917601 + 160440302500 = 10042449^2 + 400550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011222220101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011222220107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505611110050 + 50505611110051.

It is an arithmetic number, because the mean of its divisors is an integer number (50505611110051).

Almost surely, 2^{101011222220101} is an apocalyptic number.

It is an amenable number.

101011222220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011222220101 is an equidigital number, since it uses as much as digits as its factorization.

101011222220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101011222220101 its reverse (101022222110101), we get a palindrome (202033444330202).

The spelling of 101011222220101 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, two hundred twenty thousand, one hundred one".