100120022002 has 32 divisors (see below), whose sum is σ = 201640328064. Its totient is φ = 36007200000.

The previous prime is 100120021993. The next prime is 100120022011. The reversal of 100120022002 is 200220021001.

It is an interprime number because it is at equal distance from previous prime (100120021993) and next prime (100120022011).

It is a self number, because there is not a number n which added to its sum of digits gives 100120022002.

It is an unprimeable number.

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, 25002999 + ... + 25007002.

It is an arithmetic number, because the mean of its divisors is an integer number (6301260252).

Almost surely, 2^100120022002 is an apocalyptic number.

100120022002 is an abundant number, since it is smaller than the sum of its proper divisors (101520306062).

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

100120022002 is a wasteful number, since it uses less digits than its factorization.

100120022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50010034.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100120022002 its reverse (200220021001), we get a palindrome (300340043003).

It can be divided in two parts, 1001 and 20022002, that multiplied together give a palindrome (20042024002).

The spelling of 100120022002 in words is "one hundred billion, one hundred twenty million, twenty-two thousand, two".