10112100020121 has 16 divisors (see below), whose sum is σ = 15050567473920. Its totient is φ = 5986021152720.

The previous prime is 10112100020111. The next prime is 10112100020123. The reversal of 10112100020121 is 12102000121101.

It is not a de Polignac number, because 10112100020121 - 2⁷ = 10112100019993 is a prime.

It is a super-2 number, since 2×10112100020121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112100020097 and 10112100020106.

It is not an unprimeable number, because it can be changed into a prime (10112100020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3563106411 + ... + 3563109248.

It is an arithmetic number, because the mean of its divisors is an integer number (940660467120).

Almost surely, 2^{10112100020121} is an apocalyptic number.

10112100020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112100020121 is a deficient number, since it is larger than the sum of its proper divisors (4938467453799).

10112100020121 is a wasteful number, since it uses less digits than its factorization.

10112100020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126215716.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112100020121 its reverse (12102000121101), we get a palindrome (22214100141222).

The spelling of 10112100020121 in words is "ten trillion, one hundred twelve billion, one hundred million, twenty thousand, one hundred twenty-one".