102011002000001 has 8 divisors (see below), whose sum is σ = 106387263811584. Its totient is φ = 97702589208960.

The previous prime is 102011001999989. The next prime is 102011002000013. The reversal of 102011002000001 is 100000200110201.

It is an interprime number because it is at equal distance from previous prime (102011001999989) and next prime (102011002000013).

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 102011002000001 - 2¹⁸ = 102011001737857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102011002000051) 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, 16962252065 + ... + 16962258078.

It is an arithmetic number, because the mean of its divisors is an integer number (13298407976448).

Almost surely, 2^{102011002000001} is an apocalyptic number.

It is an amenable number.

102011002000001 is a deficient number, since it is larger than the sum of its proper divisors (4376261811583).

102011002000001 is an equidigital number, since it uses as much as digits as its factorization.

102011002000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33924510271.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102011002000001 its reverse (100000200110201), we get a palindrome (202011202110202).

The spelling of 102011002000001 in words is "one hundred two trillion, eleven billion, two million, one", and thus it is an aban number.