10121120011101 has 48 divisors (see below), whose sum is σ = 15871959336960. Its totient is φ = 5687020542720.

The previous prime is 10121120011087. The next prime is 10121120011103. The reversal of 10121120011101 is 10111002112101.

It is not a de Polignac number, because 10121120011101 - 2⁷ = 10121120010973 is a prime.

It is a super-3 number, since 3×10121120011101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120011103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7280781 + ... + 8558738.

It is an arithmetic number, because the mean of its divisors is an integer number (330665819520).

Almost surely, 2^{10121120011101} is an apocalyptic number.

10121120011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121120011101 is a deficient number, since it is larger than the sum of its proper divisors (5750839325859).

10121120011101 is a wasteful number, since it uses less digits than its factorization.

10121120011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15839634 (or 15839617 counting only the distinct ones).

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

Adding to 10121120011101 its reverse (10111002112101), we get a palindrome (20232122123202).

The spelling of 10121120011101 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, eleven thousand, one hundred one".