21200101129 has 2 divisors, whose sum is σ = 21200101130. Its totient is φ = 21200101128.

The previous prime is 21200101093. The next prime is 21200101147. The reversal of 21200101129 is 92110100212.

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., 17483979529 + 3716121600 = 132227^2 + 60960^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200101129 - 2⁷ = 21200101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (21200141129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600050564 + 10600050565.

It is an arithmetic number, because the mean of its divisors is an integer number (10600050565).

Almost surely, 2^21200101129 is an apocalyptic number.

It is an amenable number.

21200101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200101129 is an equidigital number, since it uses as much as digits as its factorization.

21200101129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 21200101129 in words is "twenty-one billion, two hundred million, one hundred one thousand, one hundred twenty-nine".