10100100010101 has 16 divisors (see below), whose sum is σ = 13485334740480. Its totient is φ = 6724133197040.

The previous prime is 10100100010073. The next prime is 10100100010123. The reversal of 10100100010101 is 10101000100101.

It is a cyclic number.

It is not a de Polignac number, because 10100100010101 - 2⁷ = 10100100009973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100010171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121151290 + ... + 121234628.

It is an arithmetic number, because the mean of its divisors is an integer number (842833421280).

Almost surely, 2^{10100100010101} is an apocalyptic number.

It is an amenable number.

10100100010101 is a deficient number, since it is larger than the sum of its proper divisors (3385234730379).

10100100010101 is an equidigital number, since it uses as much as digits as its factorization.

10100100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138456.

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

Adding to 10100100010101 its reverse (10101000100101), we get a palindrome (20201100110202).

The spelling of 10100100010101 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, one hundred one".