102200101120101 has 4 divisors (see below), whose sum is σ = 136266801493472. Its totient is φ = 68133400746732.

The previous prime is 102200101120027. The next prime is 102200101120157. The reversal of 102200101120101 is 101021101002201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 102200101120101 - 2¹⁴ = 102200101103717 is a prime.

It is a super-3 number, since 3×102200101120101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200101120171) 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 3 ways as a sum of consecutive naturals, for example, 17033350186681 + ... + 17033350186686.

It is an arithmetic number, because the mean of its divisors is an integer number (34066700373368).

Almost surely, 2^{102200101120101} is an apocalyptic number.

It is an amenable number.

102200101120101 is a deficient number, since it is larger than the sum of its proper divisors (34066700373371).

102200101120101 is an equidigital number, since it uses as much as digits as its factorization.

102200101120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34066700373370.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102200101120101 its reverse (101021101002201), we get a palindrome (203221202122302).

The spelling of 102200101120101 in words is "one hundred two trillion, two hundred billion, one hundred one million, one hundred twenty thousand, one hundred one".