100102120221 has 16 divisors (see below), whose sum is σ = 146193768000. Its totient is φ = 60643339008.

The previous prime is 100102120211. The next prime is 100102120249. The reversal of 100102120221 is 122021201001.

It is not a de Polignac number, because 100102120221 - 2¹¹ = 100102118173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102120197 and 100102120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33839671 + ... + 33842628.

It is an arithmetic number, because the mean of its divisors is an integer number (9137110500).

Almost surely, 2^100102120221 is an apocalyptic number.

It is an amenable number.

100102120221 is a deficient number, since it is larger than the sum of its proper divisors (46091647779).

100102120221 is a wasteful number, since it uses less digits than its factorization.

100102120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67682348.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102120221 its reverse (122021201001), we get a palindrome (222123321222).

The spelling of 100102120221 in words is "one hundred billion, one hundred two million, one hundred twenty thousand, two hundred twenty-one".