10001012122110 has 64 divisors (see below), whose sum is σ = 24229216123200. Its totient is φ = 2641751304192.

The previous prime is 10001012122097. The next prime is 10001012122111. The reversal of 10001012122110 is 1122121010001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012122111) 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, 11675556 + ... + 12502824.

It is an arithmetic number, because the mean of its divisors is an integer number (378581501925).

Almost surely, 2^{10001012122110} is an apocalyptic number.

10001012122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001012122110 is an abundant number, since it is smaller than the sum of its proper divisors (14228204001090).

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

10001012122110 is a wasteful number, since it uses less digits than its factorization.

10001012122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831085.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001012122110 its reverse (1122121010001), we get a palindrome (11123133132111).

The spelling of 10001012122110 in words is "ten trillion, one billion, twelve million, one hundred twenty-two thousand, one hundred ten".