1011010121001 has 6 divisors (see below), whose sum is σ = 1460347952570. Its totient is φ = 674006747328.

The previous prime is 1011010120993. The next prime is 1011010121003. The reversal of 1011010121001 is 1001210101101.

It can be written as a sum of positive squares in only one way, i.e., 806941093401 + 204069027600 = 898299^2 + 451740^2 .

It is not a de Polignac number, because 1011010121001 - 2³ = 1011010120993 is a prime.

It is a super-2 number, since 2×1011010121001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112334457889 = 1011010121001 / (1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011010121003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56167228936 + ... + 56167228953.

Almost surely, 2^{1011010121001} is an apocalyptic number.

It is an amenable number.

1011010121001 is a deficient number, since it is larger than the sum of its proper divisors (449337831569).

1011010121001 is a wasteful number, since it uses less digits than its factorization.

1011010121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112334457895 (or 112334457892 counting only the distinct ones).

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

Adding to 1011010121001 its reverse (1001210101101), we get a palindrome (2012220222102).

The spelling of 1011010121001 in words is "one trillion, eleven billion, ten million, one hundred twenty-one thousand, one".