1001201202121 has 16 divisors (see below), whose sum is σ = 1022964666448. Its totient is φ = 979622035200.

The previous prime is 1001201202073. The next prime is 1001201202229. The reversal of 1001201202121 is 1212021021001.

It can be written as a sum of positive squares in 8 ways, for example, as 347464270521 + 653736931600 = 589461^2 + 808540^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001201202121 - 2⁷ = 1001201201993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001201232121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10309531 + ... + 10406191.

It is an arithmetic number, because the mean of its divisors is an integer number (63935291653).

Almost surely, 2^{1001201202121} is an apocalyptic number.

It is an amenable number.

1001201202121 is a deficient number, since it is larger than the sum of its proper divisors (21763464327).

1001201202121 is an equidigital number, since it uses as much as digits as its factorization.

1001201202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97612.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001201202121 its reverse (1212021021001), we get a palindrome (2213222223122).

The spelling of 1001201202121 in words is "one trillion, one billion, two hundred one million, two hundred two thousand, one hundred twenty-one".