100102201001 has 16 divisors (see below), whose sum is σ = 110341925568. Its totient is φ = 90053352000.

The previous prime is 100102200949. The next prime is 100102201021.

100102201001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102201001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100102201001.

It is not an unprimeable number, because it can be changed into a prime (100102201021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2169170 + ... + 2214836.

It is an arithmetic number, because the mean of its divisors is an integer number (6896370348).

Almost surely, 2^100102201001 is an apocalyptic number.

100102201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102201001 is a deficient number, since it is larger than the sum of its proper divisors (10239724567).

100102201001 is a wasteful number, since it uses less digits than its factorization.

100102201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47752.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 100102 and 201001, that multiplied together give a palindrome (20120602102).

The spelling of 100102201001 in words is "one hundred billion, one hundred two million, two hundred one thousand, one".