100200120093 has 32 divisors (see below), whose sum is σ = 151950986880. Its totient is φ = 65223325440.

The previous prime is 100200120029. The next prime is 100200120101. The reversal of 100200120093 is 390021002001.

It is a happy number.

It is not a de Polignac number, because 100200120093 - 2⁶ = 100200120029 is a prime.

It is a super-3 number, since 3×100200120093³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200120593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609655 + ... + 3637307.

It is an arithmetic number, because the mean of its divisors is an integer number (4748468340).

Almost surely, 2^100200120093 is an apocalyptic number.

It is an amenable number.

100200120093 is a deficient number, since it is larger than the sum of its proper divisors (51750866787).

100200120093 is a wasteful number, since it uses less digits than its factorization.

100200120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30826 (or 30820 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100200120093 its reverse (390021002001), we get a palindrome (490221122094).

The spelling of 100200120093 in words is "one hundred billion, two hundred million, one hundred twenty thousand, ninety-three".