100120101193 has 16 divisors (see below), whose sum is σ = 117463057920. Its totient is φ = 83556089856.

The previous prime is 100120101143. The next prime is 100120101199. The reversal of 100120101193 is 391101021001.

It is a cyclic number.

It is not a de Polignac number, because 100120101193 - 2¹⁷ = 100119970121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100120101193.

It is not an unprimeable number, because it can be changed into a prime (100120101199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724888 + ... + 851881.

It is an arithmetic number, because the mean of its divisors is an integer number (7341441120).

Almost surely, 2^100120101193 is an apocalyptic number.

It is an amenable number.

100120101193 is a deficient number, since it is larger than the sum of its proper divisors (17342956727).

100120101193 is a wasteful number, since it uses less digits than its factorization.

100120101193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577016.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100120101193 its reverse (391101021001), we get a palindrome (491221122194).

The spelling of 100120101193 in words is "one hundred billion, one hundred twenty million, one hundred one thousand, one hundred ninety-three".