100210311101 has 8 divisors (see below), whose sum is σ = 103672263000. Its totient is φ = 96748787520.

The previous prime is 100210311079. The next prime is 100210311107. The reversal of 100210311101 is 101113012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1868487076 + 98341824025 = 43226^2 + 313595^2 .

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 100210311101 - 2¹⁰ = 100210310077 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 (100210311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411575 + ... + 608123.

It is an arithmetic number, because the mean of its divisors is an integer number (12959032875).

Almost surely, 2^100210311101 is an apocalyptic number.

It is an amenable number.

100210311101 is a deficient number, since it is larger than the sum of its proper divisors (3461951899).

100210311101 is a wasteful number, since it uses less digits than its factorization.

100210311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214159.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100210311101 its reverse (101113012001), we get a palindrome (201323323102).

The spelling of 100210311101 in words is "one hundred billion, two hundred ten million, three hundred eleven thousand, one hundred one".