101100012002101 has 8 divisors (see below), whose sum is σ = 115694701182144. Its totient is φ = 86543280402720.

The previous prime is 101100012002069. The next prime is 101100012002123. The reversal of 101100012002101 is 101200210001101.

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 101100012002101 - 2⁵ = 101100012002069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100012002201) 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, 9489389455 + ... + 9489400108.

It is an arithmetic number, because the mean of its divisors is an integer number (14461837647768).

Almost surely, 2^{101100012002101} is an apocalyptic number.

It is an amenable number.

101100012002101 is a deficient number, since it is larger than the sum of its proper divisors (14594689180043).

101100012002101 is an equidigital number, since it uses as much as digits as its factorization.

101100012002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978790331.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100012002101 its reverse (101200210001101), we get a palindrome (202300222003202).

The spelling of 101100012002101 in words is "one hundred one trillion, one hundred billion, twelve million, two thousand, one hundred one".