1000101011121 has 24 divisors (see below), whose sum is σ = 1468955211360. Its totient is φ = 655526748096.

The previous prime is 1000101011113. The next prime is 1000101011141. The reversal of 1000101011121 is 1211101010001.

It is not a de Polignac number, because 1000101011121 - 2³ = 1000101011113 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1000101011141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270236 + ... + 1900973.

It is an arithmetic number, because the mean of its divisors is an integer number (61206467140).

Almost surely, 2^{1000101011121} is an apocalyptic number.

It is an amenable number.

1000101011121 is a deficient number, since it is larger than the sum of its proper divisors (468854200239).

1000101011121 is a wasteful number, since it uses less digits than its factorization.

1000101011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171805 (or 3171802 counting only the distinct ones).

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

Adding to 1000101011121 its reverse (1211101010001), we get a palindrome (2211202021122).

The spelling of 1000101011121 in words is "one trillion, one hundred one million, eleven thousand, one hundred twenty-one".