1001120101011 has 12 divisors (see below), whose sum is σ = 1446137417088. Its totient is φ = 667378762704.

The previous prime is 1001120100973. The next prime is 1001120101013. The reversal of 1001120101011 is 1101010211001.

1001120101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001120101011 - 2³⁵ = 966760362643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001120100984 and 1001120101002.

It is not an unprimeable number, because it can be changed into a prime (1001120101013) 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, 2702835 + ... + 3050828.

It is an arithmetic number, because the mean of its divisors is an integer number (120511451424).

Almost surely, 2^{1001120101011} is an apocalyptic number.

1001120101011 is a deficient number, since it is larger than the sum of its proper divisors (445017316077).

1001120101011 is a wasteful number, since it uses less digits than its factorization.

1001120101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773002 (or 5772999 counting only the distinct ones).

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

Adding to 1001120101011 its reverse (1101010211001), we get a palindrome (2102130312012).

The spelling of 1001120101011 in words is "one trillion, one billion, one hundred twenty million, one hundred one thousand, eleven".