10100010101010 has 64 divisors (see below), whose sum is σ = 24480956384640. Its totient is φ = 2666567820800.

The previous prime is 10100010101009. The next prime is 10100010101017. The reversal of 10100010101010 is 1010101000101.

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

10100010101010 is a modest number, since divided by 10101010 gives 101000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010101010.

It is not an unprimeable number, because it can be changed into a prime (10100010101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112486294 + ... + 112576046.

It is an arithmetic number, because the mean of its divisors is an integer number (382514943510).

Almost surely, 2^{10100010101010} is an apocalyptic number.

10100010101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010101010 is an abundant number, since it is smaller than the sum of its proper divisors (14380946283630).

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

10100010101010 is a wasteful number, since it uses less digits than its factorization.

10100010101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127003.

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

Adding to 10100010101010 its reverse (1010101000101), we get a palindrome (11110111101111).

The spelling of 10100010101010 in words is "ten trillion, one hundred billion, ten million, one hundred one thousand, ten".