100101220101101 has 24 divisors (see below), whose sum is σ = 105697296133560. Its totient is φ = 94787595657216.

The previous prime is 100101220101097. The next prime is 100101220101109. The reversal of 100101220101101 is 101101022101001.

It can be written as a sum of positive squares in 4 ways, for example, as 7871587753225 + 92229632347876 = 2805635^2 + 9603626^2 .

It is not a de Polignac number, because 100101220101101 - 2² = 100101220101097 is a prime.

It is a super-2 number, since 2×100101220101101² (a number of 29 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 (100101220101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10955584805 + ... + 10955593941.

It is an arithmetic number, because the mean of its divisors is an integer number (4404054005565).

Almost surely, 2^{100101220101101} is an apocalyptic number.

It is an amenable number.

100101220101101 is a deficient number, since it is larger than the sum of its proper divisors (5596076032459).

100101220101101 is an equidigital number, since it uses as much as digits as its factorization.

100101220101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20301 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101220101101 its reverse (101101022101001), we get a palindrome (201202242202102).

The spelling of 100101220101101 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, one hundred one thousand, one hundred one".