1010010001121 has 16 divisors (see below), whose sum is σ = 1116698558976. Its totient is φ = 905864400000.

The previous prime is 1010010001103. The next prime is 1010010001207. The reversal of 1010010001121 is 1211000100101.

It is a happy number.

1010010001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010010001121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010010001099 and 1010010001108.

It is not an unprimeable number, because it can be changed into a prime (1010010001621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305425 + ... + 1929806.

It is an arithmetic number, because the mean of its divisors is an integer number (69793659936).

Almost surely, 2^{1010010001121} is an apocalyptic number.

1010010001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010010001121 is a deficient number, since it is larger than the sum of its proper divisors (106688557855).

1010010001121 is a wasteful number, since it uses less digits than its factorization.

1010010001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235624.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010010001121 its reverse (1211000100101), we get a palindrome (2221010101222).

The spelling of 1010010001121 in words is "one trillion, ten billion, ten million, one thousand, one hundred twenty-one".