10120001100093 has 64 divisors (see below), whose sum is σ = 15833375488000. Its totient is φ = 6370670953728.

The previous prime is 10120001100091. The next prime is 10120001100101. The reversal of 10120001100093 is 39000110002101.

It is not a de Polignac number, because 10120001100093 - 2¹ = 10120001100091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120001100091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236101698 + ... + 236144556.

It is an arithmetic number, because the mean of its divisors is an integer number (247396492000).

Almost surely, 2^{10120001100093} is an apocalyptic number.

It is an amenable number.

10120001100093 is a deficient number, since it is larger than the sum of its proper divisors (5713374387907).

10120001100093 is a wasteful number, since it uses less digits than its factorization.

10120001100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44383 (or 44377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10120001100093 its reverse (39000110002101), we get a palindrome (49120111102194).

The spelling of 10120001100093 in words is "ten trillion, one hundred twenty billion, one million, one hundred thousand, ninety-three".