102101120200201 has 8 divisors (see below), whose sum is σ = 103781140196744. Its totient is φ = 100421301208320.

The previous prime is 102101120200169. The next prime is 102101120200237. The reversal of 102101120200201 is 102002021101201.

It can be written as a sum of positive squares in 4 ways, for example, as 15301991474176 + 86799128726025 = 3911776^2 + 9316605^2 .

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 102101120200201 - 2⁵ = 102101120200169 is a prime.

It is a super-2 number, since 2×102101120200201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101120200501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49226730 + ... + 51258883.

It is an arithmetic number, because the mean of its divisors is an integer number (12972642524593).

Almost surely, 2^{102101120200201} is an apocalyptic number.

It is an amenable number.

102101120200201 is a deficient number, since it is larger than the sum of its proper divisors (1680019996543).

102101120200201 is a wasteful number, since it uses less digits than its factorization.

102101120200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100502331.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101120200201 its reverse (102002021101201), we get a palindrome (204103141301402).

The spelling of 102101120200201 in words is "one hundred two trillion, one hundred one billion, one hundred twenty million, two hundred thousand, two hundred one".