1020110102121 has 48 divisors (see below), whose sum is σ = 1544954685120. Its totient is φ = 597890832000.

The previous prime is 1020110102111. The next prime is 1020110102237. The reversal of 1020110102121 is 1212010110201.

It is not a de Polignac number, because 1020110102121 - 2³⁴ = 1002930232937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020110102097 and 1020110102106.

It is not an unprimeable number, because it can be changed into a prime (1020110102111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252975 + ... + 1900043.

It is an arithmetic number, because the mean of its divisors is an integer number (32186555940).

Almost surely, 2^{1020110102121} is an apocalyptic number.

1020110102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020110102121 is a deficient number, since it is larger than the sum of its proper divisors (524844582999).

1020110102121 is a wasteful number, since it uses less digits than its factorization.

1020110102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647238 (or 647227 counting only the distinct ones).

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

Adding to 1020110102121 its reverse (1212010110201), we get a palindrome (2232120212322).

The spelling of 1020110102121 in words is "one trillion, twenty billion, one hundred ten million, one hundred two thousand, one hundred twenty-one".