200022102102101 has 2 divisors, whose sum is σ = 200022102102102. Its totient is φ = 200022102102100.

The previous prime is 200022102102061. The next prime is 200022102102103. The reversal of 200022102102101 is 101201201220002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140827943739025 + 59194158363076 = 11867095^2 + 7693774^2 .

It is a cyclic number.

It is not a de Polignac number, because 200022102102101 - 2⁶ = 200022102102037 is a prime.

It is a super-2 number, since 2×200022102102101² (a number of 29 digits) contains 22 as substring.

Together with 200022102102103, 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 (200022102102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100011051051050 + 100011051051051.

It is an arithmetic number, because the mean of its divisors is an integer number (100011051051051).

Almost surely, 2^{200022102102101} is an apocalyptic number.

It is an amenable number.

200022102102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200022102102101 is an equidigital number, since it uses as much as digits as its factorization.

200022102102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200022102102101 its reverse (101201201220002), we get a palindrome (301223303322103).

The spelling of 200022102102101 in words is "two hundred trillion, twenty-two billion, one hundred two million, one hundred two thousand, one hundred one".