1010102101110 has 144 divisors (see below), whose sum is σ = 2732444344656. Its totient is φ = 268836397632.

The previous prime is 1010102101109. The next prime is 1010102101117. The reversal of 1010102101110 is 111012010101.

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 = 1010102101092 and 1010102101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010102101117) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 34299312 + ... + 34328748.

It is an arithmetic number, because the mean of its divisors is an integer number (18975307949).

Almost surely, 2^{1010102101110} is an apocalyptic number.

1010102101110 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 1010102101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366222172328).

1010102101110 is an abundant number, since it is smaller than the sum of its proper divisors (1722342243546).

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

1010102101110 is an frugal number, since it uses more digits than its factorization.

1010102101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29991 (or 29970 counting only the distinct ones).

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

Adding to 1010102101110 its reverse (111012010101), we get a palindrome (1121114111211).

The spelling of 1010102101110 in words is "one trillion, ten billion, one hundred two million, one hundred one thousand, one hundred ten".