100102101201001 has 4 divisors (see below), whose sum is σ = 100102162021632. Its totient is φ = 100102040380372.

The previous prime is 100102101200963. The next prime is 100102101201023.

100102101201001 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 a de Polignac number, because none of the positive numbers 2^k-100102101201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102101201061) 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, 27870841 + ... + 31256806.

It is an arithmetic number, because the mean of its divisors is an integer number (25025540505408).

Almost surely, 2^{100102101201001} is an apocalyptic number.

It is an amenable number.

100102101201001 is a deficient number, since it is larger than the sum of its proper divisors (60820631).

100102101201001 is an equidigital number, since it uses as much as digits as its factorization.

100102101201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60820630.

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

It can be divided in two parts, 10010210 and 1201001, that added together give a palindrome (11211211).

The spelling of 100102101201001 in words is "one hundred trillion, one hundred two billion, one hundred one million, two hundred one thousand, one".