1010100010010 has 128 divisors (see below), whose sum is σ = 2300821383168. Its totient is φ = 310728960000.

The previous prime is 1010100010009. The next prime is 1010100010039. The reversal of 1010100010010 is 100100010101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010100009976 and 1010100010003.

It is an unprimeable number.

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, 10061060 + ... + 10160960.

It is an arithmetic number, because the mean of its divisors is an integer number (17975167056).

Almost surely, 2^{1010100010010} is an apocalyptic number.

1010100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010100010010 is an abundant number, since it is smaller than the sum of its proper divisors (1290721373158).

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

1010100010010 is a wasteful number, since it uses less digits than its factorization.

1010100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100240.

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

Adding to 1010100010010 its reverse (100100010101), we get a palindrome (1110200020111).

Subtracting from 1010100010010 its reverse (100100010101), we obtain a palindrome (909999999909).

The spelling of 1010100010010 in words is "one trillion, ten billion, one hundred million, ten thousand, ten".