102120202120201 has 8 divisors (see below), whose sum is σ = 109197839892744. Its totient is φ = 95161516243200.

The previous prime is 102120202120169. The next prime is 102120202120229. The reversal of 102120202120201 is 102021202021201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41172498896400 + 60947703223801 = 6416580^2 + 7806901^2 .

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

It is not a de Polignac number, because 102120202120201 - 2⁵ = 102120202120169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102120202120271) 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, 29737972110 + ... + 29737975543.

It is an arithmetic number, because the mean of its divisors is an integer number (13649729986593).

Almost surely, 2^{102120202120201} is an apocalyptic number.

It is an amenable number.

102120202120201 is a deficient number, since it is larger than the sum of its proper divisors (7077637772543).

102120202120201 is a wasteful number, since it uses less digits than its factorization.

102120202120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59475947771.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120202120201 its reverse (102021202021201), we get a palindrome (204141404141402).

The spelling of 102120202120201 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, one hundred twenty thousand, two hundred one".