10121100122001 has 16 divisors (see below), whose sum is σ = 14726990861568. Its totient is φ = 6131753955600.

The previous prime is 10121100121969. The next prime is 10121100122027. The reversal of 10121100122001 is 10022100112101.

It is not a de Polignac number, because 10121100122001 - 2⁵ = 10121100121969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121100122401) 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, 56061471 + ... + 56241716.

It is an arithmetic number, because the mean of its divisors is an integer number (920436928848).

Almost surely, 2^{10121100122001} is an apocalyptic number.

10121100122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121100122001 is a deficient number, since it is larger than the sum of its proper divisors (4605890739567).

10121100122001 is a wasteful number, since it uses less digits than its factorization.

10121100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112305932.

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

Adding to 10121100122001 its reverse (10022100112101), we get a palindrome (20143200234102).

The spelling of 10121100122001 in words is "ten trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one".