100211131202101 has 8 divisors (see below), whose sum is σ = 108107901808344. Its totient is φ = 92536804838400.

The previous prime is 100211131202071. The next prime is 100211131202129. The reversal of 100211131202101 is 101202131112001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71791559540100 + 28419571662001 = 8472990^2 + 5331001^2 .

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 100211131202101 - 2⁹ = 100211131201589 is a prime.

It is a super-2 number, since 2×100211131202101² (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 (100211131203101) 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, 55611059700 + ... + 55611061501.

It is an arithmetic number, because the mean of its divisors is an integer number (13513487726043).

Almost surely, 2^{100211131202101} is an apocalyptic number.

It is an amenable number.

100211131202101 is a deficient number, since it is larger than the sum of its proper divisors (7896770606243).

100211131202101 is a wasteful number, since it uses less digits than its factorization.

100211131202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111222121271.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100211131202101 its reverse (101202131112001), we get a palindrome (201413262314102).

The spelling of 100211131202101 in words is "one hundred trillion, two hundred eleven billion, one hundred thirty-one million, two hundred two thousand, one hundred one".