102200201010102 has 64 divisors (see below), whose sum is σ = 233248391619264. Its totient is φ = 29574033223680.

The previous prime is 102200201010041. The next prime is 102200201010139. The reversal of 102200201010102 is 201010102002201.

102200201010102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102200201010102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27420973 + ... + 30924264.

It is an arithmetic number, because the mean of its divisors is an integer number (3644506119051).

Almost surely, 2^{102200201010102} is an apocalyptic number.

102200201010102 is an abundant number, since it is smaller than the sum of its proper divisors (131048190609162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102200201010102 is a wasteful number, since it uses less digits than its factorization.

102200201010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58346593.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200201010102 its reverse (201010102002201), we get a palindrome (303210303012303).

The spelling of 102200201010102 in words is "one hundred two trillion, two hundred billion, two hundred one million, ten thousand, one hundred two".