1001012111101 has 8 divisors (see below), whose sum is σ = 1011002335200. Its totient is φ = 991023440400.

The previous prime is 1001012111093. The next prime is 1001012111111. The reversal of 1001012111101 is 1011112101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001012111101 - 2³ = 1001012111093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012111111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929070 + ... + 1692688.

It is an arithmetic number, because the mean of its divisors is an integer number (126375291900).

Almost surely, 2^{1001012111101} is an apocalyptic number.

It is an amenable number.

1001012111101 is a deficient number, since it is larger than the sum of its proper divisors (9990224099).

1001012111101 is a wasteful number, since it uses less digits than its factorization.

1001012111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776699.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001012111101 its reverse (1011112101001), we get a palindrome (2012124212102).

The spelling of 1001012111101 in words is "one trillion, one billion, twelve million, one hundred eleven thousand, one hundred one".