1101012011001 has 48 divisors (see below), whose sum is σ = 1915136471040. Its totient is φ = 595434486240.

The previous prime is 1101012010997. The next prime is 1101012011087. The reversal of 1101012011001 is 1001102101011.

It is not a de Polignac number, because 1101012011001 - 2² = 1101012010997 is a prime.

It is a super-2 number, since 2×1101012011001² (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).

It is not an unprimeable number, because it can be changed into a prime (1101012011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722146 + ... + 1650308.

It is an arithmetic number, because the mean of its divisors is an integer number (39898676480).

Almost surely, 2^{1101012011001} is an apocalyptic number.

It is an amenable number.

1101012011001 is a deficient number, since it is larger than the sum of its proper divisors (814124460039).

1101012011001 is a wasteful number, since it uses less digits than its factorization.

1101012011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929186 (or 929183 counting only the distinct ones).

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

Adding to 1101012011001 its reverse (1001102101011), we get a palindrome (2102114112012).

The spelling of 1101012011001 in words is "one trillion, one hundred one billion, twelve million, eleven thousand, one".