102212110110000 has 800 divisors, whose sum is σ = 361796403691008. Its totient is φ = 24651970560000.

The previous prime is 102212110109983. The next prime is 102212110110023. The reversal of 102212110110000 is 11011212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82629029382 + ... + 82629030618.

Almost surely, 2^{102212110110000} is an apocalyptic number.

102212110110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10110000×10110001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180898201845504).

102212110110000 is an abundant number, since it is smaller than the sum of its proper divisors (259584293581008).

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

102212110110000 is a wasteful number, since it uses less digits than its factorization.

102212110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102212110110000 its reverse (11011212201), we get a palindrome (102223121322201).

It can be divided in two parts, 1022121 and 10110000, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 102212110110000 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, one hundred ten thousand".