100002120102 has 64 divisors (see below), whose sum is σ = 229678110720. Its totient is φ = 32219013600.

The previous prime is 100002120091. The next prime is 100002120109. The reversal of 100002120102 is 201021200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337973 + ... + 1410735.

It is an arithmetic number, because the mean of its divisors is an integer number (3588720480).

Almost surely, 2^100002120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114839055360).

100002120102 is an abundant number, since it is smaller than the sum of its proper divisors (129675990618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100002120102 is a wasteful number, since it uses less digits than its factorization.

100002120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73626 (or 73620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002120102 its reverse (201021200001), we get a palindrome (301023320103).

The spelling of 100002120102 in words is "one hundred billion, two million, one hundred twenty thousand, one hundred two".