100200000002120 has 32 divisors (see below), whose sum is σ = 225866728334520. Its totient is φ = 40005914964480.

The previous prime is 100200000002057. The next prime is 100200000002183. The reversal of 100200000002120 is 21200000002001.

It is an interprime number because it is at equal distance from previous prime (100200000002057) and next prime (100200000002183).

It can be written as a sum of positive squares in 4 ways, for example, as 76825540540324 + 23374459461796 = 8765018^2 + 4834714^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100200000002098 and 100200000002107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2315135477 + ... + 2315178756.

Almost surely, 2^{100200000002120} is an apocalyptic number.

100200000002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200000002120 is an abundant number, since it is smaller than the sum of its proper divisors (125666728332400).

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

100200000002120 is a wasteful number, since it uses less digits than its factorization.

100200000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630314785 (or 4630314781 counting only the distinct ones).

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

Adding to 100200000002120 its reverse (21200000002001), we get a palindrome (121400000004121).

The spelling of 100200000002120 in words is "one hundred trillion, two hundred billion, two thousand, one hundred twenty".