101020002112001 has 4 divisors (see below), whose sum is σ = 115451430985152. Its totient is φ = 86588573238852.

The previous prime is 101020002111989. The next prime is 101020002112031. The reversal of 101020002112001 is 100211200020101.

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 101020002112001 - 2¹⁰ = 101020002110977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020002112031) 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, 7215714436565 + ... + 7215714436578.

It is an arithmetic number, because the mean of its divisors is an integer number (28862857746288).

Almost surely, 2^{101020002112001} is an apocalyptic number.

It is an amenable number.

101020002112001 is a deficient number, since it is larger than the sum of its proper divisors (14431428873151).

101020002112001 is an equidigital number, since it uses as much as digits as its factorization.

101020002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14431428873150.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101020002112001 its reverse (100211200020101), we get a palindrome (201231202132102).

The spelling of 101020002112001 in words is "one hundred one trillion, twenty billion, two million, one hundred twelve thousand, one".