100201101102001 has 4 divisors (see below), whose sum is σ = 100212935420272. Its totient is φ = 100189266783732.

The previous prime is 100201101101989. The next prime is 100201101102017.

100201101102001 is nontrivially palindromic in base 10.

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 100201101102001 - 2¹⁵ = 100201101069233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201101102031) 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, 5917146435 + ... + 5917163368.

It is an arithmetic number, because the mean of its divisors is an integer number (25053233855068).

Almost surely, 2^{100201101102001} is an apocalyptic number.

It is an amenable number.

100201101102001 is a deficient number, since it is larger than the sum of its proper divisors (11834318271).

100201101102001 is an equidigital number, since it uses as much as digits as its factorization.

100201101102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834318270.

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

It can be divided in two parts, 10020110 and 1102001, that added together give a palindrome (11122111).

The spelling of 100201101102001 in words is "one hundred trillion, two hundred one billion, one hundred one million, one hundred two thousand, one".