1011008129121 has 15 divisors (see below), whose sum is σ = 1510284921123. Its totient is φ = 673999386480.

The previous prime is 1011008129119. The next prime is 1011008129203. The reversal of 1011008129121 is 1219218001101.

The square root of 1011008129121 is 1005489.

It is a perfect power (a square), and thus also a powerful number.

1011008129121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 62020423521 + 948987705600 = 249039^2 + 974160^2 .

It is not a de Polignac number, because 1011008129121 - 2¹ = 1011008129119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1011008129321) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8993541 + ... + 9105261.

Almost surely, 2^{1011008129121} is an apocalyptic number.

1011008129121 is the 1005489-th square number.

1011008129121 is the 502745-th centered octagonal number.

It is an amenable number.

1011008129121 is a deficient number, since it is larger than the sum of its proper divisors (499276792002).

1011008129121 is an frugal number, since it uses more digits than its factorization.

1011008129121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223454 (or 111724 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 1011008129121 in words is "one trillion, eleven billion, eight million, one hundred twenty-nine thousand, one hundred twenty-one".