102200000201201 has 32 divisors (see below), whose sum is σ = 117419318016000. Its totient is φ = 87136786281600.

The previous prime is 102200000201183. The next prime is 102200000201339. The reversal of 102200000201201 is 102102000002201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200000201201 is a prime.

It is a super-2 number, since 2×102200000201201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102200000201501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349479685 + ... + 4349503181.

It is an arithmetic number, because the mean of its divisors is an integer number (3669353688000).

Almost surely, 2^{102200000201201} is an apocalyptic number.

It is an amenable number.

102200000201201 is a deficient number, since it is larger than the sum of its proper divisors (15219317814799).

102200000201201 is a wasteful number, since it uses less digits than its factorization.

102200000201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27885.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102200000201201 its reverse (102102000002201), we get a palindrome (204302000203402).

The spelling of 102200000201201 in words is "one hundred two trillion, two hundred billion, two hundred one thousand, two hundred one".