10102010001 has 64 divisors (see below), whose sum is σ = 14371209216. Its totient is φ = 6306048000.

The previous prime is 10102009987. The next prime is 10102010089. The reversal of 10102010001 is 10001020101.

It is not a de Polignac number, because 10102010001 - 2⁵ = 10102009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102010201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98077716 + ... + 98077818.

It is an arithmetic number, because the mean of its divisors is an integer number (224550144).

Almost surely, 2^10102010001 is an apocalyptic number.

It is an amenable number.

10102010001 is a deficient number, since it is larger than the sum of its proper divisors (4269199215).

10102010001 is a wasteful number, since it uses less digits than its factorization.

10102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10102010001 its reverse (10001020101), we get a palindrome (20103030102).

The spelling of 10102010001 in words is "ten billion, one hundred two million, ten thousand, one".