100102212112121 has 16 divisors (see below), whose sum is σ = 100235365401600. Its totient is φ = 99969187731600.

The previous prime is 100102212112093. The next prime is 100102212112183. The reversal of 100102212112121 is 121211212201001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102212112121 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 100102212112121.

It is not an unprimeable number, because it can be changed into a prime (100102212412121) 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, 18876522356 + ... + 18876527658.

It is an arithmetic number, because the mean of its divisors is an integer number (6264710337600).

Almost surely, 2^{100102212112121} is an apocalyptic number.

It is an amenable number.

100102212112121 is a deficient number, since it is larger than the sum of its proper divisors (133153289479).

100102212112121 is a wasteful number, since it uses less digits than its factorization.

100102212112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100102212112121 its reverse (121211212201001), we get a palindrome (221313424313122).

The spelling of 100102212112121 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty-one".