1022100200129 has 2 divisors, whose sum is σ = 1022100200130. Its totient is φ = 1022100200128.

The previous prime is 1022100200119. The next prime is 1022100200131. The reversal of 1022100200129 is 9210020012201.

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., 621689671729 + 400410528400 = 788473^2 + 632780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022100200129 is a prime.

Together with 1022100200131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022100200129.

It is not a weakly prime, because it can be changed into another prime (1022100200119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050100064 + 511050100065.

It is an arithmetic number, because the mean of its divisors is an integer number (511050100065).

Almost surely, 2^{1022100200129} is an apocalyptic number.

It is an amenable number.

1022100200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100200129 is an equidigital number, since it uses as much as digits as its factorization.

1022100200129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1022100200129 in words is "one trillion, twenty-two billion, one hundred million, two hundred thousand, one hundred twenty-nine".