102200001100101 has 48 divisors (see below), whose sum is σ = 156454859957760. Its totient is φ = 64172237149440.

The previous prime is 102200001100091. The next prime is 102200001100103. The reversal of 102200001100101 is 101001100002201.

It is a happy number.

It is not a de Polignac number, because 102200001100101 - 2⁵ = 102200001100069 is a prime.

It is a super-2 number, since 2×102200001100101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200001100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95853736 + ... + 96914078.

It is an arithmetic number, because the mean of its divisors is an integer number (3259476249120).

Almost surely, 2^{102200001100101} is an apocalyptic number.

It is an amenable number.

102200001100101 is a deficient number, since it is larger than the sum of its proper divisors (54254858857659).

102200001100101 is a wasteful number, since it uses less digits than its factorization.

102200001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069426 (or 1069423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102200001100101 its reverse (101001100002201), we get a palindrome (203201101102302).

The spelling of 102200001100101 in words is "one hundred two trillion, two hundred billion, one million, one hundred thousand, one hundred one".