102213312201 has 48 divisors (see below), whose sum is σ = 198231895680. Its totient is φ = 49013372160.

The previous prime is 102213312199. The next prime is 102213312211.

102213312201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102213312201 - 2¹ = 102213312199 is a prime.

It is a super-2 number, since 2×102213312201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102213312211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5663836 + ... + 5681853.

It is an arithmetic number, because the mean of its divisors is an integer number (4129831160).

Almost surely, 2^102213312201 is an apocalyptic number.

102213312201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102213312201 is a deficient number, since it is larger than the sum of its proper divisors (96018583479).

102213312201 is a wasteful number, since it uses less digits than its factorization.

102213312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345726 (or 11345723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 102213 and 312201, that added together give a palindrome (414414).

The spelling of 102213312201 in words is "one hundred two billion, two hundred thirteen million, three hundred twelve thousand, two hundred one".