10101121121001 has 32 divisors (see below), whose sum is σ = 14350857948288. Its totient is φ = 6297773690880.

The previous prime is 10101121120997. The next prime is 10101121121099. The reversal of 10101121121001 is 10012112110101.

It is not a de Polignac number, because 10101121121001 - 2² = 10101121120997 is a prime.

It is a super-2 number, since 2×10101121121001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101121121501) 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, 40918221 + ... + 41164341.

It is an arithmetic number, because the mean of its divisors is an integer number (448464310884).

Almost surely, 2^{10101121121001} is an apocalyptic number.

It is an amenable number.

10101121121001 is a deficient number, since it is larger than the sum of its proper divisors (4249736827287).

10101121121001 is a wasteful number, since it uses less digits than its factorization.

10101121121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251241.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101121121001 its reverse (10012112110101), we get a palindrome (20113233231102).

The spelling of 10101121121001 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, one".