100121001993 has 20 divisors (see below), whose sum is σ = 150961274640. Its totient is φ = 66123522072.

The previous prime is 100121001941. The next prime is 100121002001. The reversal of 100121001993 is 399100121001.

It is not a de Polignac number, because 100121001993 - 2¹² = 100120997897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100121001913) 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 19 ways as a sum of consecutive naturals, for example, 5767323 + ... + 5784656.

It is an arithmetic number, because the mean of its divisors is an integer number (7548063732).

Almost surely, 2^100121001993 is an apocalyptic number.

It is an amenable number.

100121001993 is a deficient number, since it is larger than the sum of its proper divisors (50840272647).

100121001993 is a wasteful number, since it uses less digits than its factorization.

100121001993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552098 (or 11552089 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

Adding to 100121001993 its reverse (399100121001), we get a palindrome (499221122994).

The spelling of 100121001993 in words is "one hundred billion, one hundred twenty-one million, one thousand, nine hundred ninety-three".