10002110122110 has 64 divisors (see below), whose sum is σ = 24021424779264. Its totient is φ = 2665412092800.

The previous prime is 10002110122079. The next prime is 10002110122117. The reversal of 10002110122110 is 1122101120001.

It is a super-2 number, since 2×10002110122110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002110122117) 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 31 ways as a sum of consecutive naturals, for example, 371163657 + ... + 371190603.

It is an arithmetic number, because the mean of its divisors is an integer number (375334762176).

Almost surely, 2^{10002110122110} is an apocalyptic number.

10002110122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002110122110 is an abundant number, since it is smaller than the sum of its proper divisors (14019314657154).

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

10002110122110 is a wasteful number, since it uses less digits than its factorization.

10002110122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34929.

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

Adding to 10002110122110 its reverse (1122101120001), we get a palindrome (11124211242111).

The spelling of 10002110122110 in words is "ten trillion, two billion, one hundred ten million, one hundred twenty-two thousand, one hundred ten".