10100122012110 has 64 divisors (see below), whose sum is σ = 26398244658240. Its totient is φ = 2458249221120.

The previous prime is 10100122012093. The next prime is 10100122012129. The reversal of 10100122012110 is 1121022100101.

It is a super-3 number, since 3×10100122012110³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145458261 + ... + 145527680.

It is an arithmetic number, because the mean of its divisors is an integer number (412472572785).

Almost surely, 2^{10100122012110} is an apocalyptic number.

10100122012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100122012110 is an abundant number, since it is smaller than the sum of its proper divisors (16298122646130).

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

10100122012110 is a wasteful number, since it uses less digits than its factorization.

10100122012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290986053.

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

Adding to 10100122012110 its reverse (1121022100101), we get a palindrome (11221144112211).

The spelling of 10100122012110 in words is "ten trillion, one hundred billion, one hundred twenty-two million, twelve thousand, one hundred ten".