10000101011121 has 32 divisors (see below), whose sum is σ = 16504734960000. Its totient is φ = 5941704573504.

The previous prime is 10000101011119. The next prime is 10000101011123. The reversal of 10000101011121 is 12111010100001.

It is an interprime number because it is at equal distance from previous prime (10000101011119) and next prime (10000101011123).

It is not a de Polignac number, because 10000101011121 - 2¹ = 10000101011119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000101011123) 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 31 ways as a sum of consecutive naturals, for example, 491202171 + ... + 491222528.

It is an arithmetic number, because the mean of its divisors is an integer number (515772967500).

Almost surely, 2^{10000101011121} is an apocalyptic number.

It is an amenable number.

10000101011121 is a deficient number, since it is larger than the sum of its proper divisors (6504633948879).

10000101011121 is a wasteful number, since it uses less digits than its factorization.

10000101011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982424750 (or 982424744 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10000101011121 its reverse (12111010100001), we get a palindrome (22111111111122).

The spelling of 10000101011121 in words is "ten trillion, one hundred one million, eleven thousand, one hundred twenty-one".