102210101002049 has 2 divisors, whose sum is σ = 102210101002050. Its totient is φ = 102210101002048.

The previous prime is 102210101002003. The next prime is 102210101002081. The reversal of 102210101002049 is 940200101012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91664539705600 + 10545561296449 = 9574160^2 + 3247393^2 .

It is an emirp because it is prime and its reverse (940200101012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210101002049 - 2⁴⁴ = 84617914957633 is a prime.

It is a super-3 number, since 3×102210101002049³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102210101001049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105050501024 + 51105050501025.

It is an arithmetic number, because the mean of its divisors is an integer number (51105050501025).

Almost surely, 2^{102210101002049} is an apocalyptic number.

It is an amenable number.

102210101002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210101002049 is an equidigital number, since it uses as much as digits as its factorization.

102210101002049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 102210101002049 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, two thousand, forty-nine".