100001022101 has 8 divisors (see below), whose sum is σ = 100548288000. Its totient is φ = 99454204080.

The previous prime is 100001022059. The next prime is 100001022109. The reversal of 100001022101 is 101220100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001022101 - 2²⁶ = 99933913237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001022109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340796 + ... + 562266.

It is an arithmetic number, because the mean of its divisors is an integer number (12568536000).

Almost surely, 2^100001022101 is an apocalyptic number.

It is an amenable number.

100001022101 is a deficient number, since it is larger than the sum of its proper divisors (547265899).

100001022101 is a wasteful number, since it uses less digits than its factorization.

100001022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223939.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001022101 its reverse (101220100001), we get a palindrome (201221122102).

The spelling of 100001022101 in words is "one hundred billion, one million, twenty-two thousand, one hundred one".