10102110211110 has 256 divisors, whose sum is σ = 25357722624000. Its totient is φ = 2573881497600.

The previous prime is 10102110211103. The next prime is 10102110211117. The reversal of 10102110211110 is 1111201120101.

It is an interprime number because it is at equal distance from previous prime (10102110211103) and next prime (10102110211117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102110211117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5802474840 + ... + 5802476580.

It is an arithmetic number, because the mean of its divisors is an integer number (99053604000).

Almost surely, 2^{10102110211110} is an apocalyptic number.

10102110211110 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 10102110211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678861312000).

10102110211110 is an abundant number, since it is smaller than the sum of its proper divisors (15255612412890).

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

10102110211110 is a wasteful number, since it uses less digits than its factorization.

10102110211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10102110211110 its reverse (1111201120101), we get a palindrome (11213311331211).

The spelling of 10102110211110 in words is "ten trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand, one hundred ten".