102112272211201 has 48 divisors (see below), whose sum is σ = 127273248668800. Its totient is φ = 80027884210176.

The previous prime is 102112272211193. The next prime is 102112272211207.

It is a happy number.

102112272211201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102112272211201 - 2³ = 102112272211193 is a prime.

It is a super-2 number, since 2×102112272211201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112272211207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289858795 + ... + 290210863.

Almost surely, 2^{102112272211201} is an apocalyptic number.

It is an amenable number.

102112272211201 is a deficient number, since it is larger than the sum of its proper divisors (25160976457599).

102112272211201 is a wasteful number, since it uses less digits than its factorization.

102112272211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354746 (or 354717 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The spelling of 102112272211201 in words is "one hundred two trillion, one hundred twelve billion, two hundred seventy-two million, two hundred eleven thousand, two hundred one".