102101001 has 16 divisors (see below), whose sum is σ = 138220608. Its totient is φ = 67032000.

The previous prime is 102100991. The next prime is 102101033. The reversal of 102101001 is 100101201.

It is not a de Polignac number, because 102101001 - 2⁵ = 102100969 is a prime.

It is a super-2 number, since 2×102101001² = 20849228810404002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63135 + ... + 64731.

It is an arithmetic number, because the mean of its divisors is an integer number (8638788).

Almost surely, 2^102101001 is an apocalyptic number.

It is an amenable number.

102101001 is a deficient number, since it is larger than the sum of its proper divisors (36119607).

102101001 is a wasteful number, since it uses less digits than its factorization.

102101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912.

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

The square root of 102101001 is about 10104.5039957437. The cubic root of 102101001 is about 467.3870408737.

Adding to 102101001 its reverse (100101201), we get a palindrome (202202202).

It can be divided in two parts, 10210 and 1001, that added together give a palindrome (11211).

The spelling of 102101001 in words is "one hundred two million, one hundred one thousand, one".