10100101000101 has 16 divisors (see below), whose sum is σ = 15543012574848. Its totient is φ = 5714342856000.

The previous prime is 10100101000061. The next prime is 10100101000103. The reversal of 10100101000101 is 10100010100101.

It is a de Polignac number, because none of the positive numbers 2^k-10100101000101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101000103) 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, 2380974070 + ... + 2380978311.

It is an arithmetic number, because the mean of its divisors is an integer number (971438285928).

Almost surely, 2^{10100101000101} is an apocalyptic number.

It is an amenable number.

10100101000101 is a deficient number, since it is larger than the sum of its proper divisors (5442911574747).

10100101000101 is a wasteful number, since it uses less digits than its factorization.

10100101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761952492.

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

Adding to 10100101000101 its reverse (10100010100101), we get a palindrome (20200111100202).

The spelling of 10100101000101 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one", and thus it is an aban number.