101002000000001 has 4 divisors (see below), whose sum is σ = 101236343387904. Its totient is φ = 100767656612100.

The previous prime is 101001999999973. The next prime is 101002000000043. The reversal of 101002000000001 is 100000000200101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101002000000001 - 2¹⁸ = 101001999737857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002000000051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117171693305 + ... + 117171694166.

It is an arithmetic number, because the mean of its divisors is an integer number (25309085846976).

Almost surely, 2^{101002000000001} is an apocalyptic number.

It is an amenable number.

101002000000001 is a deficient number, since it is larger than the sum of its proper divisors (234343387903).

101002000000001 is an equidigital number, since it uses as much as digits as its factorization.

101002000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234343387902.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 101002000000001 its reverse (100000000200101), we get a palindrome (201002000200102).

The spelling of 101002000000001 in words is "one hundred one trillion, two billion, one", and thus it is an aban number.