10100011000101 has 16 divisors (see below), whose sum is σ = 15087977122368. Its totient is φ = 5955780441600.

The previous prime is 10100011000067. The next prime is 10100011000147.

10100011000101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10100011000101 - 2²² = 10100006805797 is a prime.

It is a super-2 number, since 2×10100011000101² (a number of 27 digits) contains 22 as substring.

10100011000101 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 10100011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011000181) 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, 4135957420 + ... + 4135959861.

It is an arithmetic number, because the mean of its divisors is an integer number (942998570148).

Almost surely, 2^{10100011000101} is an apocalyptic number.

10100011000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100011000101 is a deficient number, since it is larger than the sum of its proper divisors (4987966122267).

10100011000101 is a wasteful number, since it uses less digits than its factorization.

10100011000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271917332.

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

It can be divided in two parts, 1010001 and 1000101, that multiplied together give a palindrome (1010103010101).

The spelling of 10100011000101 in words is "ten trillion, one hundred billion, eleven million, one hundred one", and thus it is an aban number.