102122011200201 has 64 divisors (see below), whose sum is σ = 144138676469760. Its totient is φ = 64186726063680.

The previous prime is 102122011200163. The next prime is 102122011200217. The reversal of 102122011200201 is 102002110221201.

It is not a de Polignac number, because 102122011200201 - 2⁷ = 102122011200073 is a prime.

It is a super-3 number, since 3×102122011200201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102122011200301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1318157896 + ... + 1318235366.

It is an arithmetic number, because the mean of its divisors is an integer number (2252166819840).

Almost surely, 2^{102122011200201} is an apocalyptic number.

It is an amenable number.

102122011200201 is a deficient number, since it is larger than the sum of its proper divisors (42016665269559).

102122011200201 is a wasteful number, since it uses less digits than its factorization.

102122011200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78626.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122011200201 its reverse (102002110221201), we get a palindrome (204124121421402).

The spelling of 102122011200201 in words is "one hundred two trillion, one hundred twenty-two billion, eleven million, two hundred thousand, two hundred one".