102112001011001 has 8 divisors (see below), whose sum is σ = 102862118029440. Its totient is φ = 101361953180448.

The previous prime is 102112001010997. The next prime is 102112001011019. The reversal of 102112001011001 is 100110100211201.

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 102112001011001 - 2² = 102112001010997 is a prime.

It is a super-3 number, since 3×102112001011001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112001011021) 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, 14332541 + ... + 20239706.

It is an arithmetic number, because the mean of its divisors is an integer number (12857764753680).

Almost surely, 2^{102112001011001} is an apocalyptic number.

It is an amenable number.

102112001011001 is a deficient number, since it is larger than the sum of its proper divisors (750117018439).

102112001011001 is a wasteful number, since it uses less digits than its factorization.

102112001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34593943.

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

Adding to 102112001011001 its reverse (100110100211201), we get a palindrome (202222101222202).

The spelling of 102112001011001 in words is "one hundred two trillion, one hundred twelve billion, one million, eleven thousand, one".