102000022010101 has 2 divisors, whose sum is σ = 102000022010102. Its totient is φ = 102000022010100.

The previous prime is 102000022010027. The next prime is 102000022010123. The reversal of 102000022010101 is 101010220000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87322464933201 + 14677557076900 = 9344649^2 + 3831130^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000022010101 - 2¹³ = 102000022001909 is a prime.

It is a super-2 number, since 2×102000022010101² (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 (102000022010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000011005050 + 51000011005051.

It is an arithmetic number, because the mean of its divisors is an integer number (51000011005051).

Almost surely, 2^{102000022010101} is an apocalyptic number.

It is an amenable number.

102000022010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000022010101 is an equidigital number, since it uses as much as digits as its factorization.

102000022010101 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 10.

Adding to 102000022010101 its reverse (101010220000201), we get a palindrome (203010242010302).

The spelling of 102000022010101 in words is "one hundred two trillion, twenty-two million, ten thousand, one hundred one".