102200101001 has 8 divisors (see below), whose sum is σ = 102365352960. Its totient is φ = 102034924992.

The previous prime is 102200100983. The next prime is 102200101021. The reversal of 102200101001 is 100101002201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102200101001 - 2¹⁰ = 102200099977 is a prime.

It is a super-2 number, since 2×102200101001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102200101001.

It is not an unprimeable number, because it can be changed into a prime (102200101021) 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 7 ways as a sum of consecutive naturals, for example, 3073601 + ... + 3106673.

It is an arithmetic number, because the mean of its divisors is an integer number (12795669120).

Almost surely, 2^102200101001 is an apocalyptic number.

It is an amenable number.

102200101001 is a deficient number, since it is larger than the sum of its proper divisors (165251959).

102200101001 is an equidigital number, since it uses as much as digits as its factorization.

102200101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37975.

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

Adding to 102200101001 its reverse (100101002201), we get a palindrome (202301103202).

The spelling of 102200101001 in words is "one hundred two billion, two hundred million, one hundred one thousand, one".