10002011122101 has 16 divisors (see below), whose sum is σ = 14151703288320. Its totient is φ = 6269990757360.

The previous prime is 10002011122079. The next prime is 10002011122189. The reversal of 10002011122101 is 10122111020001.

It is not a de Polignac number, because 10002011122101 - 2¹⁰ = 10002011121077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002011124101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228442395 + ... + 1228450536.

It is an arithmetic number, because the mean of its divisors is an integer number (884481455520).

Almost surely, 2^{10002011122101} is an apocalyptic number.

It is an amenable number.

10002011122101 is a deficient number, since it is larger than the sum of its proper divisors (4149692166219).

10002011122101 is a wasteful number, since it uses less digits than its factorization.

10002011122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456893016.

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

Adding to 10002011122101 its reverse (10122111020001), we get a palindrome (20124122142102).

The spelling of 10002011122101 in words is "ten trillion, two billion, eleven million, one hundred twenty-two thousand, one hundred one".