100030202002120 has 32 divisors (see below), whose sum is σ = 242380874083320. Its totient is φ = 36934228431360.

The previous prime is 100030202002051. The next prime is 100030202002187. The reversal of 100030202002120 is 21200202030001.

It can be written as a sum of positive squares in 4 ways, for example, as 61670834074084 + 38359367928036 = 7853078^2 + 6193494^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100030202002120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96182886021 + ... + 96182887060.

Almost surely, 2^{100030202002120} is an apocalyptic number.

100030202002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100030202002120 is an abundant number, since it is smaller than the sum of its proper divisors (142350672081200).

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

100030202002120 is a wasteful number, since it uses less digits than its factorization.

100030202002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192365773105 (or 192365773101 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100030202002120 its reverse (21200202030001), we get a palindrome (121230404032121).

The spelling of 100030202002120 in words is "one hundred trillion, thirty billion, two hundred two million, two thousand, one hundred twenty".