1010002110001 has 16 divisors (see below), whose sum is σ = 1034772710400. Its totient is φ = 985564616400.

The previous prime is 1010002109993. The next prime is 1010002110023. The reversal of 1010002110001 is 1000112000101.

It is a cyclic number.

It is not a de Polignac number, because 1010002110001 - 2³ = 1010002109993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010002110041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3381820 + ... + 3668338.

It is an arithmetic number, because the mean of its divisors is an integer number (64673294400).

Almost surely, 2^{1010002110001} is an apocalyptic number.

It is an amenable number.

1010002110001 is a deficient number, since it is larger than the sum of its proper divisors (24770600399).

1010002110001 is a wasteful number, since it uses less digits than its factorization.

1010002110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287100.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010002110001 its reverse (1000112000101), we get a palindrome (2010114110102).

The spelling of 1010002110001 in words is "one trillion, ten billion, two million, one hundred ten thousand, one".