100202111211101 has 8 divisors (see below), whose sum is σ = 101207490437208. Its totient is φ = 99196992360000.

The previous prime is 100202111211077. The next prime is 100202111211173. The reversal of 100202111211101 is 101112111202001.

It can be written as a sum of positive squares in 4 ways, for example, as 57642275247001 + 42559835964100 = 7592251^2 + 6523790^2 .

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 100202111211101 - 2³⁴ = 100184931341917 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 (100202111211401) 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, 64320170 + ... + 65859611.

It is an arithmetic number, because the mean of its divisors is an integer number (12650936304651).

Almost surely, 2^{100202111211101} is an apocalyptic number.

It is an amenable number.

100202111211101 is a deficient number, since it is larger than the sum of its proper divisors (1005379226107).

100202111211101 is a wasteful number, since it uses less digits than its factorization.

100202111211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130187503.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100202111211101 its reverse (101112111202001), we get a palindrome (201314222413102).

The spelling of 100202111211101 in words is "one hundred trillion, two hundred two billion, one hundred eleven million, two hundred eleven thousand, one hundred one".