1001011112101 has 32 divisors (see below), whose sum is σ = 1344989995776. Its totient is φ = 719485632000.

The previous prime is 1001011112099. The next prime is 1001011112111. The reversal of 1001011112101 is 1012111101001.

It is a cyclic number.

It is not a de Polignac number, because 1001011112101 - 2¹ = 1001011112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011112111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020321 + ... + 1744441.

It is an arithmetic number, because the mean of its divisors is an integer number (42030937368).

Almost surely, 2^{1001011112101} is an apocalyptic number.

1001011112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001011112101 is a deficient number, since it is larger than the sum of its proper divisors (343978883675).

1001011112101 is a wasteful number, since it uses less digits than its factorization.

1001011112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725533.

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

Adding to 1001011112101 its reverse (1012111101001), we get a palindrome (2013122213102).

It can be divided in two parts, 10010 and 11112101, that added together give a palindrome (11122111).

The spelling of 1001011112101 in words is "one trillion, one billion, eleven million, one hundred twelve thousand, one hundred one".