1000201022121 has 32 divisors (see below), whose sum is σ = 1643462553600. Its totient is φ = 528255803520.

The previous prime is 1000201022101. The next prime is 1000201022129. The reversal of 1000201022121 is 1212201020001.

It is not a de Polignac number, because 1000201022121 - 2¹⁵ = 1000200989353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000201022097 and 1000201022106.

It is not an unprimeable number, because it can be changed into a prime (1000201022129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30554001 + ... + 30586718.

It is an arithmetic number, because the mean of its divisors is an integer number (51358204800).

Almost surely, 2^{1000201022121} is an apocalyptic number.

It is an amenable number.

1000201022121 is a deficient number, since it is larger than the sum of its proper divisors (643261531479).

1000201022121 is a wasteful number, since it uses less digits than its factorization.

1000201022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61140789.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000201022121 its reverse (1212201020001), we get a palindrome (2212402042122).

The spelling of 1000201022121 in words is "one trillion, two hundred one million, twenty-two thousand, one hundred twenty-one".