102200111101001 has 8 divisors (see below), whose sum is σ = 103155679972224. Its totient is φ = 101244550149360.

The previous prime is 102200111100959. The next prime is 102200111101003. The reversal of 102200111101001 is 100101111002201.

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 102200111101001 - 2⁴⁶ = 31831366923337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200111101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25758491 + ... + 29460143.

It is an arithmetic number, because the mean of its divisors is an integer number (12894459996528).

Almost surely, 2^{102200111101001} is an apocalyptic number.

It is an amenable number.

102200111101001 is a deficient number, since it is larger than the sum of its proper divisors (955568871223).

102200111101001 is a wasteful number, since it uses less digits than its factorization.

102200111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959791.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102200111101001 its reverse (100101111002201), we get a palindrome (202301222103202).

The spelling of 102200111101001 in words is "one hundred two trillion, two hundred billion, one hundred eleven million, one hundred one thousand, one".