102210032113301 has 16 divisors (see below), whose sum is σ = 120688477138944. Its totient is φ = 84740401401264.

The previous prime is 102210032113171. The next prime is 102210032113331. The reversal of 102210032113301 is 103311230012201.

It is a happy number.

It is not a de Polignac number, because 102210032113301 - 2¹⁰ = 102210032112277 is a prime.

It is a super-3 number, since 3×102210032113301³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210032113331) 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, 1648358381 + ... + 1648420386.

It is an arithmetic number, because the mean of its divisors is an integer number (7543029821184).

Almost surely, 2^{102210032113301} is an apocalyptic number.

It is an amenable number.

102210032113301 is a deficient number, since it is larger than the sum of its proper divisors (18478445025643).

102210032113301 is a wasteful number, since it uses less digits than its factorization.

102210032113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296778920.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102210032113301 its reverse (103311230012201), we get a palindrome (205521262125502).

The spelling of 102210032113301 in words is "one hundred two trillion, two hundred ten billion, thirty-two million, one hundred thirteen thousand, three hundred one".