10120012100101 has 4 divisors (see below), whose sum is σ = 10355361218752. Its totient is φ = 9884662981452.

The previous prime is 10120012100027. The next prime is 10120012100113. The reversal of 10120012100101 is 10100121002101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10120012100101 - 2¹⁷ = 10120011969029 is a prime.

It is a super-3 number, since 3×10120012100101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120012130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117674559261 + ... + 117674559346.

It is an arithmetic number, because the mean of its divisors is an integer number (2588840304688).

Almost surely, 2^{10120012100101} is an apocalyptic number.

It is an amenable number.

10120012100101 is a deficient number, since it is larger than the sum of its proper divisors (235349118651).

10120012100101 is an equidigital number, since it uses as much as digits as its factorization.

10120012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235349118650.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120012100101 its reverse (10100121002101), we get a palindrome (20220133102202).

The spelling of 10120012100101 in words is "ten trillion, one hundred twenty billion, twelve million, one hundred thousand, one hundred one".