10121111100001 has 16 divisors (see below), whose sum is σ = 11133430338816. Its totient is φ = 9200209590000.

The previous prime is 10121111099999. The next prime is 10121111100011. The reversal of 10121111100001 is 10000111112101.

It is not a de Polignac number, because 10121111100001 - 2¹ = 10121111099999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121111100011) 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, 15249096 + ... + 15898966.

It is an arithmetic number, because the mean of its divisors is an integer number (695839396176).

Almost surely, 2^{10121111100001} is an apocalyptic number.

10121111100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121111100001 is a deficient number, since it is larger than the sum of its proper divisors (1012319238815).

10121111100001 is an equidigital number, since it uses as much as digits as its factorization.

10121111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661605 (or 661583 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10121111100001 its reverse (10000111112101), we get a palindrome (20121222212102).

It can be divided in two parts, 1012111 and 1100001, that added together give a palindrome (2112112).

The spelling of 10121111100001 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, one".