102201212121201 has 40 divisors (see below), whose sum is σ = 156402924849864. Its totient is φ = 66468806737920.

The previous prime is 102201212121199. The next prime is 102201212121221. The reversal of 102201212121201 is 102121212102201.

102201212121201 is a `hidden beast` number, since 1 + 0 + 220 + 121 + 2 + 121 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1536109881201 + 100665102240000 = 1239399^2 + 10033200^2 .

It is not a de Polignac number, because 102201212121201 - 2¹ = 102201212121199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102201212121221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62534685 + ... + 64148181.

Almost surely, 2^{102201212121201} is an apocalyptic number.

It is an amenable number.

102201212121201 is a deficient number, since it is larger than the sum of its proper divisors (54201712728663).

102201212121201 is a wasteful number, since it uses less digits than its factorization.

102201212121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632623 (or 1632614 counting only the distinct ones).

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

Adding to 102201212121201 its reverse (102121212102201), we get a palindrome (204322424223402).

The spelling of 102201212121201 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, one hundred twenty-one thousand, two hundred one".