1020000010121 has 32 divisors (see below), whose sum is σ = 1125890304000. Its totient is φ = 919754922240.

The previous prime is 1020000010103. The next prime is 1020000010229. The reversal of 1020000010121 is 1210100000201.

It is a cyclic number.

It is not a de Polignac number, because 1020000010121 - 2¹⁴ = 1019999993737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020000010099 and 1020000010108.

It is not an unprimeable number, because it can be changed into a prime (1020000000121) 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, 84648305 + ... + 84660353.

It is an arithmetic number, because the mean of its divisors is an integer number (35184072000).

Almost surely, 2^{1020000010121} is an apocalyptic number.

It is an amenable number.

1020000010121 is a deficient number, since it is larger than the sum of its proper divisors (105890293879).

1020000010121 is a wasteful number, since it uses less digits than its factorization.

1020000010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020000010121 its reverse (1210100000201), we get a palindrome (2230100010322).

The spelling of 1020000010121 in words is "one trillion, twenty billion, ten thousand, one hundred twenty-one".