100101020101001 has 16 divisors (see below), whose sum is σ = 102808043054400. Its totient is φ = 97432106586048.

The previous prime is 100101020100971. The next prime is 100101020101013.

It is a happy number.

100101020101001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100101020101001 - 2¹⁴ = 100101020084617 is a prime.

It is a super-2 number, since 2×100101020101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101020101001.

It is not an unprimeable number, because it can be changed into a prime (100101020107001) 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, 16471406 + ... + 21714263.

It is an arithmetic number, because the mean of its divisors is an integer number (6425502690900).

Almost surely, 2^{100101020101001} is an apocalyptic number.

It is an amenable number.

100101020101001 is a deficient number, since it is larger than the sum of its proper divisors (2707022953399).

100101020101001 is a wasteful number, since it uses less digits than its factorization.

100101020101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38186168.

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 100101020101001 in words is "one hundred trillion, one hundred one billion, twenty million, one hundred one thousand, one".