10012101010110 has 224 divisors, whose sum is σ = 28673019809280. Its totient is φ = 2510523854784.

The previous prime is 10012101010069. The next prime is 10012101010129. The reversal of 10012101010110 is 1101010121001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012101010092 and 10012101010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9386487 + ... + 10398573.

It is an arithmetic number, because the mean of its divisors is an integer number (128004552720).

Almost surely, 2^{10012101010110} is an apocalyptic number.

10012101010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012101010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336509904640).

10012101010110 is an abundant number, since it is smaller than the sum of its proper divisors (18660918799170).

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

10012101010110 is a wasteful number, since it uses less digits than its factorization.

10012101010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012194 (or 1012179 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10012101010110 its reverse (1101010121001), we get a palindrome (11113111131111).

The spelling of 10012101010110 in words is "ten trillion, twelve billion, one hundred one million, ten thousand, one hundred ten".