101101222020137 has 2 divisors, whose sum is σ = 101101222020138. Its totient is φ = 101101222020136.

The previous prime is 101101222020089. The next prime is 101101222020143. The reversal of 101101222020137 is 731020222101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63045203890201 + 38056018129936 = 7940101^2 + 6168956^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101222020137 - 2¹⁸ = 101101221757993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101222020157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550611010068 + 50550611010069.

It is an arithmetic number, because the mean of its divisors is an integer number (50550611010069).

Almost surely, 2^{101101222020137} is an apocalyptic number.

It is an amenable number.

101101222020137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101222020137 is an equidigital number, since it uses as much as digits as its factorization.

101101222020137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 101101222020137 its reverse (731020222101101), we get a palindrome (832121444121238).

The spelling of 101101222020137 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, twenty thousand, one hundred thirty-seven".