101121001121 has 16 divisors (see below), whose sum is σ = 118708262400. Its totient is φ = 84330616320.

The previous prime is 101121001099. The next prime is 101121001171. The reversal of 101121001121 is 121100121101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121001121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121001171) 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, 374696 + ... + 585353.

It is an arithmetic number, because the mean of its divisors is an integer number (7419266400).

Almost surely, 2^101121001121 is an apocalyptic number.

It is an amenable number.

101121001121 is a deficient number, since it is larger than the sum of its proper divisors (17587261279).

101121001121 is an equidigital number, since it uses as much as digits as its factorization.

101121001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960464.

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

Adding to 101121001121 its reverse (121100121101), we get a palindrome (222221122222).

The spelling of 101121001121 in words is "one hundred one billion, one hundred twenty-one million, one thousand, one hundred twenty-one".