102010505001 has 16 divisors (see below), whose sum is σ = 136191668544. Its totient is φ = 67918225664.

The previous prime is 102010504987. The next prime is 102010505011. The reversal of 102010505001 is 100505010201.

It is a cyclic number.

It is not a de Polignac number, because 102010505001 - 2⁵ = 102010504969 is a prime.

It is a super-2 number, since 2×102010505001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010505011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11820250 + ... + 11828876.

It is an arithmetic number, because the mean of its divisors is an integer number (8511979284).

Almost surely, 2^102010505001 is an apocalyptic number.

102010505001 is the 202001-st centered pentagonal number.

It is an amenable number.

102010505001 is a deficient number, since it is larger than the sum of its proper divisors (34181163543).

102010505001 is a wasteful number, since it uses less digits than its factorization.

102010505001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320.

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 102010505001 its reverse (100505010201), we get a palindrome (202515515202).

The spelling of 102010505001 in words is "one hundred two billion, ten million, five hundred five thousand, one".