10011121120101 has 24 divisors (see below), whose sum is σ = 14636939263744. Its totient is φ = 6078859107840.

The previous prime is 10011121120051. The next prime is 10011121120151. The reversal of 10011121120101 is 10102112111001.

10011121120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10011121120051) and next prime (10011121120151).

It is not a de Polignac number, because 10011121120101 - 2¹⁹ = 10011120595813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121120151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186212680 + ... + 186266433.

Almost surely, 2^{10011121120101} is an apocalyptic number.

It is an amenable number.

10011121120101 is a deficient number, since it is larger than the sum of its proper divisors (4625818143643).

10011121120101 is a wasteful number, since it uses less digits than its factorization.

10011121120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372479181 (or 372479164 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011121120101 its reverse (10102112111001), we get a palindrome (20113233231102).

The spelling of 10011121120101 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred one".