10102100111010 has 192 divisors, whose sum is σ = 27934637702400. Its totient is φ = 2528062742016.

The previous prime is 10102100111009. The next prime is 10102100111023. The reversal of 10102100111010 is 1011100120101.

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 = 10102100110983 and 10102100111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93329101 + ... + 93437279.

It is an arithmetic number, because the mean of its divisors is an integer number (145492904700).

Almost surely, 2^{10102100111010} is an apocalyptic number.

10102100111010 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 10102100111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967318851200).

10102100111010 is an abundant number, since it is smaller than the sum of its proper divisors (17832537591390).

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

10102100111010 is a wasteful number, since it uses less digits than its factorization.

10102100111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109225 (or 109222 counting only the distinct ones).

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

Adding to 10102100111010 its reverse (1011100120101), we get a palindrome (11113200231111).

Subtracting from 10102100111010 its reverse (1011100120101), we obtain a palindrome (9090999990909).

The spelling of 10102100111010 in words is "ten trillion, one hundred two billion, one hundred million, one hundred eleven thousand, ten".