101022020261 has 2 divisors, whose sum is σ = 101022020262. Its totient is φ = 101022020260.

The previous prime is 101022020179. The next prime is 101022020263. The reversal of 101022020261 is 162020220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96441302500 + 4580717761 = 310550^2 + 67681^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022020261 - 2¹⁰ = 101022019237 is a prime.

It is a super-2 number, since 2×101022020261² (a number of 23 digits) contains 22 as substring.

Together with 101022020263, 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 (101022020263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511010130 + 50511010131.

It is an arithmetic number, because the mean of its divisors is an integer number (50511010131).

Almost surely, 2^101022020261 is an apocalyptic number.

It is an amenable number.

101022020261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022020261 is an equidigital number, since it uses as much as digits as its factorization.

101022020261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101022020261 its reverse (162020220101), we get a palindrome (263042240362).

The spelling of 101022020261 in words is "one hundred one billion, twenty-two million, twenty thousand, two hundred sixty-one".