10110022001010 has 288 divisors, whose sum is σ = 28119059841600. Its totient is φ = 2519685273600.

The previous prime is 10110022000997. The next prime is 10110022001017. The reversal of 10110022001010 is 1010022001101.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110022000983 and 10110022001001.

It is not an unprimeable number, because it can be changed into a prime (10110022001017) 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 143 ways as a sum of consecutive naturals, for example, 2495683485 + ... + 2495687535.

It is an arithmetic number, because the mean of its divisors is an integer number (97635624450).

Almost surely, 2^{10110022001010} is an apocalyptic number.

10110022001010 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 10110022001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14059529920800).

10110022001010 is an abundant number, since it is smaller than the sum of its proper divisors (18009037840590).

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

10110022001010 is a wasteful number, since it uses less digits than its factorization.

10110022001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110022001010 its reverse (1010022001101), we get a palindrome (11120044002111).

Subtracting from 10110022001010 its reverse (1010022001101), we obtain a palindrome (9099999999909).

The spelling of 10110022001010 in words is "ten trillion, one hundred ten billion, twenty-two million, one thousand, ten".