102212121212201 has 48 divisors (see below), whose sum is σ = 143043642470400. Its totient is φ = 70984062737280.

The previous prime is 102212121212197. The next prime is 102212121212203.

102212121212201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102212121212201 - 2² = 102212121212197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212121212203) 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, 159727721 + ... + 160366358.

It is an arithmetic number, because the mean of its divisors is an integer number (2980075884800).

Almost surely, 2^{102212121212201} is an apocalyptic number.

102212121212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212121212201 is a deficient number, since it is larger than the sum of its proper divisors (40831521258199).

102212121212201 is a wasteful number, since it uses less digits than its factorization.

102212121212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320094150 (or 320094139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 102212121212201 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, two hundred one".