100102121011001 has 4 divisors (see below), whose sum is σ = 100109792272500. Its totient is φ = 100094449749504.

The previous prime is 100102121010943. The next prime is 100102121011003. The reversal of 100102121011001 is 100110121201001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18076060044025 + 82026060966976 = 4251595^2 + 9056824^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102121011001 - 2⁶ = 100102121010937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100102121011003) 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, 3835611176 + ... + 3835637273.

It is an arithmetic number, because the mean of its divisors is an integer number (25027448068125).

Almost surely, 2^{100102121011001} is an apocalyptic number.

It is an amenable number.

100102121011001 is a deficient number, since it is larger than the sum of its proper divisors (7671261499).

100102121011001 is an equidigital number, since it uses as much as digits as its factorization.

100102121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671261498.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102121011001 its reverse (100110121201001), we get a palindrome (200212242212002).

The spelling of 100102121011001 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, eleven thousand, one".