1010100010101 has 64 divisors (see below), whose sum is σ = 1802541500928. Its totient is φ = 487905804288.

The previous prime is 1010100010097. The next prime is 1010100010111.

1010100010101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1010100010101 - 2² = 1010100010097 is a prime.

1010100010101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 1010100010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100010111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769460 + ... + 3112893.

It is an arithmetic number, because the mean of its divisors is an integer number (28164710952).

Almost surely, 2^{1010100010101} is an apocalyptic number.

It is an amenable number.

1010100010101 is a deficient number, since it is larger than the sum of its proper divisors (792441490827).

1010100010101 is a wasteful number, since it uses less digits than its factorization.

1010100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882430.

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

It can be divided in two parts, 10101000 and 10101, that added together give a palindrome (10111101).

The spelling of 1010100010101 in words is "one trillion, ten billion, one hundred million, ten thousand, one hundred one".