102212221031100 has 864 divisors, whose sum is σ = 343202286772800. Its totient is φ = 25394400460800.

The previous prime is 102212221031099. The next prime is 102212221031113. The reversal of 102212221031100 is 1130122212201.

102212221031100 is a `hidden beast` number, since 1 + 0 + 22 + 122 + 210 + 311 + 0 + 0 = 666.

It is a super-2 number, since 2×102212221031100² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66761737335 + ... + 66761738865.

It is an arithmetic number, because the mean of its divisors is an integer number (397224868950).

Almost surely, 2^{102212221031100} is an apocalyptic number.

102212221031100 is a gapful number since it is divisible by the number (10) 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 102212221031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601143386400).

102212221031100 is an abundant number, since it is smaller than the sum of its proper divisors (240990065741700).

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

102212221031100 is a wasteful number, since it uses less digits than its factorization.

102212221031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102212221031100 its reverse (1130122212201), we get a palindrome (103342343243301).

The spelling of 102212221031100 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, thirty-one thousand, one hundred".