102200210122219 has 16 divisors (see below), whose sum is σ = 111635638539264. Its totient is φ = 92788879514400.

The previous prime is 102200210122181. The next prime is 102200210122223. The reversal of 102200210122219 is 912221012002201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102200210122219 - 2¹⁵ = 102200210089451 is a prime.

It is a super-2 number, since 2×102200210122219² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200210122193 and 102200210122202.

It is not an unprimeable number, because it can be changed into a prime (102200210122249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144640582 + ... + 145345444.

It is an arithmetic number, because the mean of its divisors is an integer number (6977227408704).

Almost surely, 2^{102200210122219} is an apocalyptic number.

102200210122219 is a deficient number, since it is larger than the sum of its proper divisors (9435428417045).

102200210122219 is a wasteful number, since it uses less digits than its factorization.

102200210122219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721938.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 102200210122219 in words is "one hundred two trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, two hundred nineteen".