100111022101 has 8 divisors (see below), whose sum is σ = 106004550744. Its totient is φ = 94218009600.

The previous prime is 100111022057. The next prime is 100111022111. The reversal of 100111022101 is 101220111001.

It can be written as a sum of positive squares in 4 ways, for example, as 23381468100 + 76729554001 = 152910^2 + 277001^2 .

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 100111022101 - 2⁷ = 100111021973 is a prime.

It is a super-2 number, since 2×100111022101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313741 + ... + 546493.

It is an arithmetic number, because the mean of its divisors is an integer number (13250568843).

Almost surely, 2^100111022101 is an apocalyptic number.

It is an amenable number.

100111022101 is a deficient number, since it is larger than the sum of its proper divisors (5893528643).

100111022101 is a wasteful number, since it uses less digits than its factorization.

100111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258071.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111022101 its reverse (101220111001), we get a palindrome (201331133102).

The spelling of 100111022101 in words is "one hundred billion, one hundred eleven million, twenty-two thousand, one hundred one".