102001112101001 has 8 divisors (see below), whose sum is σ = 105373922805504. Its totient is φ = 98633454662160.

The previous prime is 102001112100929. The next prime is 102001112101033. The reversal of 102001112101001 is 100101211100201.

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 102001112101001 - 2¹⁰ = 102001112099977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102001112101201) 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, 1288276175 + ... + 1288355348.

It is an arithmetic number, because the mean of its divisors is an integer number (13171740350688).

Almost surely, 2^{102001112101001} is an apocalyptic number.

It is an amenable number.

102001112101001 is a deficient number, since it is larger than the sum of its proper divisors (3372810704503).

102001112101001 is a wasteful number, since it uses less digits than its factorization.

102001112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576632831.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102001112101001 its reverse (100101211100201), we get a palindrome (202102323201202).

The spelling of 102001112101001 in words is "one hundred two trillion, one billion, one hundred twelve million, one hundred one thousand, one".