102210200011000 has 64 divisors (see below), whose sum is σ = 239185445616000. Its totient is φ = 40881759049600.

The previous prime is 102210200010943. The next prime is 102210200011013. The reversal of 102210200011000 is 110002012201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14776641 + ... + 20561359.

It is an arithmetic number, because the mean of its divisors is an integer number (3737272587750).

Almost surely, 2^{102210200011000} is an apocalyptic number.

102210200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210200011000 is an abundant number, since it is smaller than the sum of its proper divisors (136975245605000).

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

102210200011000 is a wasteful number, since it uses less digits than its factorization.

102210200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802409 (or 5802395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102210200011000 its reverse (110002012201), we get a palindrome (102320202023201).

The spelling of 102210200011000 in words is "one hundred two trillion, two hundred ten billion, two hundred million, eleven thousand".