202010101001121 has 32 divisors (see below), whose sum is σ = 332866992844800. Its totient is φ = 106332511585536.

The previous prime is 202010101001047. The next prime is 202010101001131. The reversal of 202010101001121 is 121100101010202.

It is not a de Polignac number, because 202010101001121 - 2¹⁴ = 202010100984737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202010101001097 and 202010101001106.

It is not an unprimeable number, because it can be changed into a prime (202010101001131) 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, 6019713271 + ... + 6019746828.

It is an arithmetic number, because the mean of its divisors is an integer number (10402093526400).

Almost surely, 2^{202010101001121} is an apocalyptic number.

202010101001121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202010101001121 is a deficient number, since it is larger than the sum of its proper divisors (130856891843679).

202010101001121 is a wasteful number, since it uses less digits than its factorization.

202010101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039460173.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 202010101001121 its reverse (121100101010202), we get a palindrome (323110202011323).

The spelling of 202010101001121 in words is "two hundred two trillion, ten billion, one hundred one million, one thousand, one hundred twenty-one".