102132220212 has 288 divisors, whose sum is σ = 295866480000. Its totient is φ = 29430604800.

The previous prime is 102132220181. The next prime is 102132220231. The reversal of 102132220212 is 212022231201.

102132220212 is a `hidden beast` number, since 102 + 132 + 220 + 212 = 666.

It is a super-2 number, since 2×102132220212² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204673539 + ... + 204674037.

Almost surely, 2^102132220212 is an apocalyptic number.

102132220212 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 102132220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147933240000).

102132220212 is an abundant number, since it is smaller than the sum of its proper divisors (193734259788).

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

102132220212 is a wasteful number, since it uses less digits than its factorization.

102132220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102132220212 its reverse (212022231201), we get a palindrome (314154451413).

The spelling of 102132220212 in words is "one hundred two billion, one hundred thirty-two million, two hundred twenty thousand, two hundred twelve".