2010102100110 has 160 divisors (see below), whose sum is σ = 5877220789440. Its totient is φ = 489990269952.

The previous prime is 2010102100103. The next prime is 2010102100121. The reversal of 2010102100110 is 110012010102.

It is a happy number.

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 = 2010102100092 and 2010102100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157926 + ... + 2011254.

It is an arithmetic number, because the mean of its divisors is an integer number (36732629934).

Almost surely, 2^{2010102100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010102100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938610394720).

2010102100110 is an abundant number, since it is smaller than the sum of its proper divisors (3867118689330).

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

2010102100110 is a wasteful number, since it uses less digits than its factorization.

2010102100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853464 (or 1853455 counting only the distinct ones).

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

Adding to 2010102100110 its reverse (110012010102), we get a palindrome (2120114110212).

The spelling of 2010102100110 in words is "two trillion, ten billion, one hundred two million, one hundred thousand, one hundred ten".