10112101200010 has 16 divisors (see below), whose sum is σ = 18202422925800. Its totient is φ = 4044698087616.

The previous prime is 10112101199987. The next prime is 10112101200029. The reversal of 10112101200010 is 1000210121101.

It can be written as a sum of positive squares in 4 ways, for example, as 6060306609361 + 4051794590649 = 2461769^2 + 2012907^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10112101200010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17500545 + ... + 18069124.

Almost surely, 2^{10112101200010} is an apocalyptic number.

10112101200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112101200010 is a deficient number, since it is larger than the sum of its proper divisors (8090321725790).

10112101200010 is a wasteful number, since it uses less digits than its factorization.

10112101200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35598105.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112101200010 its reverse (1000210121101), we get a palindrome (11112311321111).

The spelling of 10112101200010 in words is "ten trillion, one hundred twelve billion, one hundred one million, two hundred thousand, ten".