1010011211001 has 12 divisors (see below), whose sum is σ = 1571128550628. Its totient is φ = 621545360544.

The previous prime is 1010011210981. The next prime is 1010011211003. The reversal of 1010011211001 is 1001121100101.

1010011211001 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 2 ways, for example, as 230011364025 + 779999846976 = 479595^2 + 883176^2 .

It is not a de Polignac number, because 1010011211001 - 2⁵ = 1010011210969 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 (1010011211003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4316287110 + ... + 4316287343.

It is an arithmetic number, because the mean of its divisors is an integer number (130927379219).

Almost surely, 2^{1010011211001} is an apocalyptic number.

It is an amenable number.

1010011211001 is a deficient number, since it is larger than the sum of its proper divisors (561117339627).

1010011211001 is a wasteful number, since it uses less digits than its factorization.

1010011211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632574472 (or 8632574469 counting only the distinct ones).

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

Adding to 1010011211001 its reverse (1001121100101), we get a palindrome (2011132311102).

The spelling of 1010011211001 in words is "one trillion, ten billion, eleven million, two hundred eleven thousand, one".