10202012012121 has 32 divisors (see below), whose sum is σ = 13749128870400. Its totient is φ = 6728457939840.

The previous prime is 10202012012113. The next prime is 10202012012123. The reversal of 10202012012121 is 12121021020201.

It is not a de Polignac number, because 10202012012121 - 2³ = 10202012012113 is a prime.

It is a super-2 number, since 2×10202012012121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10202012012121.

It is not an unprimeable number, because it can be changed into a prime (10202012012123) 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 31 ways as a sum of consecutive naturals, for example, 342116350 + ... + 342146168.

It is an arithmetic number, because the mean of its divisors is an integer number (429660277200).

Almost surely, 2^{10202012012121} is an apocalyptic number.

It is an amenable number.

10202012012121 is a deficient number, since it is larger than the sum of its proper divisors (3547116858279).

10202012012121 is a wasteful number, since it uses less digits than its factorization.

10202012012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32629.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202012012121 its reverse (12121021020201), we get a palindrome (22323033032322).

The spelling of 10202012012121 in words is "ten trillion, two hundred two billion, twelve million, twelve thousand, one hundred twenty-one".