10210122010110 has 192 divisors, whose sum is σ = 27301640820480. Its totient is φ = 2423397795840.

The previous prime is 10210122010093. The next prime is 10210122010241. The reversal of 10210122010110 is 1101022101201.

It is a super-2 number, since 2×10210122010110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240902901 + ... + 240945279.

It is an arithmetic number, because the mean of its divisors is an integer number (142196045940).

Almost surely, 2^{10210122010110} is an apocalyptic number.

10210122010110 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 10210122010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650820410240).

10210122010110 is an abundant number, since it is smaller than the sum of its proper divisors (17091518810370).

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

10210122010110 is a wasteful number, since it uses less digits than its factorization.

10210122010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42683 (or 42610 counting only the distinct ones).

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

Adding to 10210122010110 its reverse (1101022101201), we get a palindrome (11311144111311).

The spelling of 10210122010110 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, ten thousand, one hundred ten".