10122011010001 has 32 divisors (see below), whose sum is σ = 12568942264320. Its totient is φ = 8030157292800.

The previous prime is 10122011009947. The next prime is 10122011010011. The reversal of 10122011010001 is 10001011022101.

It is a cyclic number.

It is not a de Polignac number, because 10122011010001 - 2⁹ = 10122011009489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122011010001.

It is not an unprimeable number, because it can be changed into a prime (10122011010011) 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, 30140065 + ... + 30474046.

It is an arithmetic number, because the mean of its divisors is an integer number (392779445760).

Almost surely, 2^{10122011010001} is an apocalyptic number.

10122011010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122011010001 is a deficient number, since it is larger than the sum of its proper divisors (2446931254319).

10122011010001 is a wasteful number, since it uses less digits than its factorization.

10122011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60614205.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10122011010001 its reverse (10001011022101), we get a palindrome (20123022032102).

It can be divided in two parts, 1012201 and 1010001, that added together give a palindrome (2022202).

The spelling of 10122011010001 in words is "ten trillion, one hundred twenty-two billion, eleven million, ten thousand, one".