101121000121 has 8 divisors (see below), whose sum is σ = 102396022344. Its totient is φ = 99851347200.

The previous prime is 101121000107. The next prime is 101121000133. The reversal of 101121000121 is 121000121101.

It can be written as a sum of positive squares in 4 ways, for example, as 28964295721 + 72156704400 = 170189^2 + 268620^2 .

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

It is not a de Polignac number, because 101121000121 - 2¹³ = 101120991929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121000098 and 101121000107.

It is not an unprimeable number, because it can be changed into a prime (101121000161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304416 + ... + 1379761.

It is an arithmetic number, because the mean of its divisors is an integer number (12799502793).

Almost surely, 2^101121000121 is an apocalyptic number.

It is an amenable number.

101121000121 is a deficient number, since it is larger than the sum of its proper divisors (1275022223).

101121000121 is a wasteful number, since it uses less digits than its factorization.

101121000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684651.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101121000121 its reverse (121000121101), we get a palindrome (222121121222).

It can be divided in two parts, 101 and 121000121, that multiplied together give a palindrome (12221012221).

The spelling of 101121000121 in words is "one hundred one billion, one hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.