10102200112122 has 32 divisors (see below), whose sum is σ = 20257291866240. Its totient is φ = 3358585579200.

The previous prime is 10102200112093. The next prime is 10102200112127. The reversal of 10102200112122 is 22121100220101.

It is not an unprimeable number, because it can be changed into a prime (10102200112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56236747 + ... + 56416097.

It is an arithmetic number, because the mean of its divisors is an integer number (633040370820).

Almost surely, 2^{10102200112122} is an apocalyptic number.

10102200112122 is an abundant number, since it is smaller than the sum of its proper divisors (10155091754118).

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

10102200112122 is a wasteful number, since it uses less digits than its factorization.

10102200112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203878.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102200112122 its reverse (22121100220101), we get a palindrome (32223300332223).

The spelling of 10102200112122 in words is "ten trillion, one hundred two billion, two hundred million, one hundred twelve thousand, one hundred twenty-two".