1011010121121 has 96 divisors (see below), whose sum is σ = 1825288777728. Its totient is φ = 483355192320.

The previous prime is 1011010121119. The next prime is 1011010121123. The reversal of 1011010121121 is 1211210101101.

It is an interprime number because it is at equal distance from previous prime (1011010121119) and next prime (1011010121123).

It is not a de Polignac number, because 1011010121121 - 2¹ = 1011010121119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011010121097 and 1011010121106.

It is not an unprimeable number, because it can be changed into a prime (1011010121123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13117720 + ... + 13194566.

It is an arithmetic number, because the mean of its divisors is an integer number (19013424768).

Almost surely, 2^{1011010121121} is an apocalyptic number.

1011010121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011010121121 is a deficient number, since it is larger than the sum of its proper divisors (814278656607).

1011010121121 is a wasteful number, since it uses less digits than its factorization.

1011010121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77231 (or 77218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1011010121121 its reverse (1211210101101), we get a palindrome (2222220222222).

The spelling of 1011010121121 in words is "one trillion, eleven billion, ten million, one hundred twenty-one thousand, one hundred twenty-one".