1021000202121 has 64 divisors (see below), whose sum is σ = 1468682772480. Its totient is φ = 629690181120.

The previous prime is 1021000202113. The next prime is 1021000202143. The reversal of 1021000202121 is 1212020001201.

It is not a de Polignac number, because 1021000202121 - 2³ = 1021000202113 is a prime.

It is a super-3 number, since 3×1021000202121³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1021000202097 and 1021000202106.

It is not an unprimeable number, because it can be changed into a prime (1021000202821) 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 63 ways as a sum of consecutive naturals, for example, 88800045 + ... + 88811541.

It is an arithmetic number, because the mean of its divisors is an integer number (22948168320).

Almost surely, 2^{1021000202121} is an apocalyptic number.

It is an amenable number.

1021000202121 is a deficient number, since it is larger than the sum of its proper divisors (447682570359).

1021000202121 is a wasteful number, since it uses less digits than its factorization.

1021000202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046.

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

Adding to 1021000202121 its reverse (1212020001201), we get a palindrome (2233020203322).

The spelling of 1021000202121 in words is "one trillion, twenty-one billion, two hundred two thousand, one hundred twenty-one".