101101212210101 has 2 divisors, whose sum is σ = 101101212210102. Its totient is φ = 101101212210100.

The previous prime is 101101212210083. The next prime is 101101212210107. The reversal of 101101212210101 is 101012212101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100763652372100 + 337559838001 = 10038110^2 + 580999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101212210101 is a prime.

It is a super-2 number, since 2×101101212210101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101212210107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550606105050 + 50550606105051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550606105051).

Almost surely, 2^{101101212210101} is an apocalyptic number.

It is an amenable number.

101101212210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101212210101 is an equidigital number, since it uses as much as digits as its factorization.

101101212210101 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 14.

Adding to 101101212210101 its reverse (101012212101101), we get a palindrome (202113424311202).

The spelling of 101101212210101 in words is "one hundred one trillion, one hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred one".