102011121102201 has 16 divisors (see below), whose sum is σ = 136215280783296. Its totient is φ = 67907189661696.

The previous prime is 102011121102179. The next prime is 102011121102223. The reversal of 102011121102201 is 102201121110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102011121102179) and next prime (102011121102223).

It is not a de Polignac number, because 102011121102201 - 2⁵ = 102011121102169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102011121102251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312991941 + ... + 313317693.

It is an arithmetic number, because the mean of its divisors is an integer number (8513455048956).

Almost surely, 2^{102011121102201} is an apocalyptic number.

It is an amenable number.

102011121102201 is a deficient number, since it is larger than the sum of its proper divisors (34204159681095).

102011121102201 is a wasteful number, since it uses less digits than its factorization.

102011121102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479272.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102011121102201 its reverse (102201121110201), we get a palindrome (204212242212402).

The spelling of 102011121102201 in words is "one hundred two trillion, eleven billion, one hundred twenty-one million, one hundred two thousand, two hundred one".