10121121001001 has 8 divisors (see below), whose sum is σ = 10132882380864. Its totient is φ = 10109362601200.

The previous prime is 10121121000997. The next prime is 10121121001027. The reversal of 10121121001001 is 10010012112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121121001001 - 2² = 10121121000997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121121003001) 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 7 ways as a sum of consecutive naturals, for example, 6087851 + ... + 7569951.

It is an arithmetic number, because the mean of its divisors is an integer number (1266610297608).

Almost surely, 2^{10121121001001} is an apocalyptic number.

It is an amenable number.

10121121001001 is a deficient number, since it is larger than the sum of its proper divisors (11761379863).

10121121001001 is an equidigital number, since it uses as much as digits as its factorization.

10121121001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490031.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121121001001 its reverse (10010012112101), we get a palindrome (20131133113102).

Subtracting from 10121121001001 its reverse (10010012112101), we obtain a square (111108888900 = 333330²).

The spelling of 10121121001001 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, one".