1011000110121 has 80 divisors (see below), whose sum is σ = 1691485956864. Its totient is φ = 598459124736.

The previous prime is 1011000110119. The next prime is 1011000110123. The reversal of 1011000110121 is 1210110001101.

1011000110121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011000110119) and next prime (1011000110123).

It is not a de Polignac number, because 1011000110121 - 2¹ = 1011000110119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011000110123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2093340 + ... + 2530626.

Almost surely, 2^{1011000110121} is an apocalyptic number.

It is an amenable number.

1011000110121 is a deficient number, since it is larger than the sum of its proper divisors (680485846743).

1011000110121 is a wasteful number, since it uses less digits than its factorization.

1011000110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437412 (or 437403 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011000110121 its reverse (1210110001101), we get a palindrome (2221110111222).

The spelling of 1011000110121 in words is "one trillion, eleven billion, one hundred ten thousand, one hundred twenty-one".