10101000010010 has 128 divisors (see below), whose sum is σ = 22899566592000. Its totient is φ = 3122506278144.

The previous prime is 10101000010007. The next prime is 10101000010033. The reversal of 10101000010010 is 1001000010101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10101000009976 and 10101000010003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21105587 + ... + 21578873.

It is an arithmetic number, because the mean of its divisors is an integer number (178902864000).

Almost surely, 2^{10101000010010} is an apocalyptic number.

10101000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101000010010 is an abundant number, since it is smaller than the sum of its proper divisors (12798566581990).

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

10101000010010 is a wasteful number, since it uses less digits than its factorization.

10101000010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473860.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10101000010010 its reverse (1001000010101), we get a palindrome (11102000020111).

Subtracting from 10101000010010 its reverse (1001000010101), we obtain a palindrome (9099999999909).

The spelling of 10101000010010 in words is "ten trillion, one hundred one billion, ten thousand, ten".