1101002112001 has 32 divisors (see below), whose sum is σ = 1308389760000. Its totient is φ = 915194871360.

The previous prime is 1101002111999. The next prime is 1101002112017. The reversal of 1101002112001 is 1002112001011.

It is not a de Polignac number, because 1101002112001 - 2¹ = 1101002111999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101002112031) 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, 17053740 + ... + 17118178.

It is an arithmetic number, because the mean of its divisors is an integer number (40887180000).

Almost surely, 2^{1101002112001} is an apocalyptic number.

1101002112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101002112001 is a deficient number, since it is larger than the sum of its proper divisors (207387647999).

1101002112001 is a wasteful number, since it uses less digits than its factorization.

1101002112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67317.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1101002112001 its reverse (1002112001011), we get a palindrome (2103114113012).

The spelling of 1101002112001 in words is "one trillion, one hundred one billion, two million, one hundred twelve thousand, one".