102102212121201 has 6 divisors (see below), whose sum is σ = 147480973063970. Its totient is φ = 68068141414128.

The previous prime is 102102212121139. The next prime is 102102212121209. The reversal of 102102212121201 is 102121212201201.

102102212121201 is a `hidden beast` number, since 1 + 0 + 210 + 221 + 21 + 212 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97669755605601 + 4432456515600 = 9882801^2 + 2105340^2 .

It is not a de Polignac number, because 102102212121201 - 2⁷ = 102102212121073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102212121209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672345117836 + ... + 5672345117853.

Almost surely, 2^{102102212121201} is an apocalyptic number.

It is an amenable number.

102102212121201 is a deficient number, since it is larger than the sum of its proper divisors (45378760942769).

102102212121201 is a wasteful number, since it uses less digits than its factorization.

102102212121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344690235695 (or 11344690235692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102102212121201 its reverse (102121212201201), we get a palindrome (204223424322402).

The spelling of 102102212121201 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred one".