102213110001132 has 144 divisors (see below), whose sum is σ = 280080059112672. Its totient is φ = 31243648665600.

The previous prime is 102213110001113. The next prime is 102213110001143. The reversal of 102213110001132 is 231100011312201.

102213110001132 is a `hidden beast` number, since 1 + 0 + 221 + 311 + 0 + 0 + 0 + 1 + 132 = 666.

It is a super-2 number, since 2×102213110001132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42517507 + ... + 44857157.

Almost surely, 2^{102213110001132} is an apocalyptic number.

102213110001132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213110001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140040029556336).

102213110001132 is an abundant number, since it is smaller than the sum of its proper divisors (177866949111540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213110001132 is a wasteful number, since it uses less digits than its factorization.

102213110001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340288 (or 2340283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102213110001132 its reverse (231100011312201), we get a palindrome (333313121313333).

The spelling of 102213110001132 in words is "one hundred two trillion, two hundred thirteen billion, one hundred ten million, one thousand, one hundred thirty-two".