102102001001 has 32 divisors (see below), whose sum is σ = 138445445376. Its totient is φ = 72712800000.

The previous prime is 102102000991. The next prime is 102102001019. The reversal of 102102001001 is 100100201201.

It is a cyclic number.

It is not a de Polignac number, because 102102001001 - 2²⁶ = 102034892137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102102001001.

It is not an unprimeable number, because it can be changed into a prime (102102001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403850 + ... + 606051.

It is an arithmetic number, because the mean of its divisors is an integer number (4326420168).

Almost surely, 2^102102001001 is an apocalyptic number.

102102001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102001001 is a deficient number, since it is larger than the sum of its proper divisors (36343444375).

102102001001 is a wasteful number, since it uses less digits than its factorization.

102102001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010033.

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

Adding to 102102001001 its reverse (100100201201), we get a palindrome (202202202202).

It can be divided in two parts, 10210200 and 1001, that added together give a palindrome (10211201).

The spelling of 102102001001 in words is "one hundred two billion, one hundred two million, one thousand, one".