100010022101 has 8 divisors (see below), whose sum is σ = 109249485600. Its totient is φ = 90795165840.

The previous prime is 100010022089. The next prime is 100010022149. The reversal of 100010022101 is 101220010001.

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 100010022101 - 2⁶ = 100010022037 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 (100010022001) 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, 6143306 + ... + 6159563.

It is an arithmetic number, because the mean of its divisors is an integer number (13656185700).

Almost surely, 2^100010022101 is an apocalyptic number.

100010022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010022101 is a deficient number, since it is larger than the sum of its proper divisors (9239463499).

100010022101 is a wasteful number, since it uses less digits than its factorization.

100010022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303619.

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

Adding to 100010022101 its reverse (101220010001), we get a palindrome (201230032102).

It can be divided in two parts, 1000100 and 22101, that added together give a palindrome (1022201).

The spelling of 100010022101 in words is "one hundred billion, ten million, twenty-two thousand, one hundred one".