10100100101 has 32 divisors (see below), whose sum is σ = 13154254848.
Its totient is φ = 7536070080.
The previous prime is 10100100079. The next prime is 10100100133.
10100100101 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 10100100101 - 214 = 10100083717 is a prime.
10100100101 is a strobogrammatic number because it is the same when read upside-down.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10100100181) 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, 114620 + ... + 182586.
It is an arithmetic number, because the mean of its divisors is an integer number (411070464).
Almost surely, 210100100101 is an apocalyptic number.
It is an amenable number.
10100100101 is a deficient number, since it is larger than the sum of its proper divisors (3054154747).
10100100101 is a wasteful number, since it uses less digits than its factorization.
10100100101 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68081.
The product of its (nonzero) digits is 1, while the sum is 5.
The spelling of 10100100101 in words is "ten billion, one hundred million, one hundred thousand, one hundred one".