1020102022121 has 32 divisors (see below), whose sum is σ = 1294918990848. Its totient is φ = 782119526400.

The previous prime is 1020102022091. The next prime is 1020102022157. The reversal of 1020102022121 is 1212202010201.

It is a cyclic number.

It is not a de Polignac number, because 1020102022121 - 2³⁰ = 1019028280297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020102022096 and 1020102022105.

It is not an unprimeable number, because it can be changed into a prime (1020102024121) 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, 748760 + ... + 1612713.

It is an arithmetic number, because the mean of its divisors is an integer number (40466218464).

Almost surely, 2^{1020102022121} is an apocalyptic number.

It is an amenable number.

1020102022121 is a deficient number, since it is larger than the sum of its proper divisors (274816968727).

1020102022121 is a wasteful number, since it uses less digits than its factorization.

1020102022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361641.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020102022121 its reverse (1212202010201), we get a palindrome (2232304032322).

The spelling of 1020102022121 in words is "one trillion, twenty billion, one hundred two million, twenty-two thousand, one hundred twenty-one".