101022201101 has 2 divisors, whose sum is σ = 101022201102. Its totient is φ = 101022201100.

The previous prime is 101022201067. The next prime is 101022201131. The reversal of 101022201101 is 101102220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86441880100 + 14580321001 = 294010^2 + 120749^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022201101 - 2¹⁴ = 101022184717 is a prime.

It is a super-2 number, since 2×101022201101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022201131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511100550 + 50511100551.

It is an arithmetic number, because the mean of its divisors is an integer number (50511100551).

Almost surely, 2^101022201101 is an apocalyptic number.

It is an amenable number.

101022201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022201101 is an equidigital number, since it uses as much as digits as its factorization.

101022201101 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 11.

Adding to 101022201101 its reverse (101102220101), we get a palindrome (202124421202).

The spelling of 101022201101 in words is "one hundred one billion, twenty-two million, two hundred one thousand, one hundred one".