10110101000010 has 128 divisors (see below), whose sum is σ = 28042235520768. Its totient is φ = 2305519104000.

The previous prime is 10110100999997. The next prime is 10110101000011. The reversal of 10110101000010 is 1000010101101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10110101000011) 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 63 ways as a sum of consecutive naturals, for example, 9956020 + ... + 10924400.

It is an arithmetic number, because the mean of its divisors is an integer number (219079965006).

Almost surely, 2^{10110101000010} is an apocalyptic number.

10110101000010 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 10110101000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021117760384).

10110101000010 is an abundant number, since it is smaller than the sum of its proper divisors (17932134520758).

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

10110101000010 is a wasteful number, since it uses less digits than its factorization.

10110101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970280.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10110101000010 its reverse (1000010101101), we get a palindrome (11110111101111).

The spelling of 10110101000010 in words is "ten trillion, one hundred ten billion, one hundred one million, ten", and thus it is an aban number.