100101102002121 has 16 divisors (see below), whose sum is σ = 145699387807680. Its totient is φ = 60626590840320.

The previous prime is 100101102002047. The next prime is 100101102002137. The reversal of 100101102002121 is 121200201101001.

It is not a de Polignac number, because 100101102002121 - 2¹¹ = 100101102000073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101102002097 and 100101102002106.

It is not an unprimeable number, because it can be changed into a prime (100101102002191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018542780 + ... + 1018641053.

It is an arithmetic number, because the mean of its divisors is an integer number (9106211737980).

Almost surely, 2^{100101102002121} is an apocalyptic number.

100101102002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101102002121 is a deficient number, since it is larger than the sum of its proper divisors (45598285805559).

100101102002121 is a wasteful number, since it uses less digits than its factorization.

100101102002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037185336.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101102002121 its reverse (121200201101001), we get a palindrome (221301303103122).

The spelling of 100101102002121 in words is "one hundred trillion, one hundred one billion, one hundred two million, two thousand, one hundred twenty-one".