10122002010001 has 32 divisors (see below), whose sum is σ = 12389586094080. Its totient is φ = 8082552038400.

The previous prime is 10122002009941. The next prime is 10122002010023. The reversal of 10122002010001 is 10001020022101.

10122002010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122002010001 - 2³⁵ = 10087642271633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122002010001.

It is not an unprimeable number, because it can be changed into a prime (10122002010401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265690 + ... + 4507171.

It is an arithmetic number, because the mean of its divisors is an integer number (387174565440).

Almost surely, 2^{10122002010001} is an apocalyptic number.

It is an amenable number.

10122002010001 is a deficient number, since it is larger than the sum of its proper divisors (2267584084079).

10122002010001 is a wasteful number, since it uses less digits than its factorization.

10122002010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773265.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122002010001 its reverse (10001020022101), we get a palindrome (20123022032102).

The spelling of 10122002010001 in words is "ten trillion, one hundred twenty-two billion, two million, ten thousand, one".