100011121002101 has 4 divisors (see below), whose sum is σ = 104359430610912. Its totient is φ = 95662811393292.

The previous prime is 100011121002061. The next prime is 100011121002137. The reversal of 100011121002101 is 101200121110001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100011121002101 - 2²⁶ = 100011053893237 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 (100011121007101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2174154804371 + ... + 2174154804416.

It is an arithmetic number, because the mean of its divisors is an integer number (26089857652728).

Almost surely, 2^{100011121002101} is an apocalyptic number.

It is an amenable number.

100011121002101 is a deficient number, since it is larger than the sum of its proper divisors (4348309608811).

100011121002101 is an equidigital number, since it uses as much as digits as its factorization.

100011121002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348309608810.

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

Adding to 100011121002101 its reverse (101200121110001), we get a palindrome (201211242112102).

The spelling of 100011121002101 in words is "one hundred trillion, eleven billion, one hundred twenty-one million, two thousand, one hundred one".