10121112211001 has 16 divisors (see below), whose sum is σ = 11067369018048. Its totient is φ = 9179217216000.

The previous prime is 10121112210941. The next prime is 10121112211003. The reversal of 10121112211001 is 10011221112101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121112211001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121112211003) 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, 95449925 + ... + 95555901.

It is an arithmetic number, because the mean of its divisors is an integer number (691710563628).

Almost surely, 2^{10121112211001} is an apocalyptic number.

10121112211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121112211001 is a deficient number, since it is larger than the sum of its proper divisors (946256807047).

10121112211001 is a wasteful number, since it uses less digits than its factorization.

10121112211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126472.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121112211001 its reverse (10011221112101), we get a palindrome (20132333323102).

The spelling of 10121112211001 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one".