102212211001120 has 192 divisors, whose sum is σ = 271056539255040. Its totient is φ = 36105731584000.

The previous prime is 102212211001111. The next prime is 102212211001123. The reversal of 102212211001120 is 21100112212201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102212211001094 and 102212211001103.

It is not an unprimeable number, because it can be changed into a prime (102212211001123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996741 + ... + 14845819.

It is an arithmetic number, because the mean of its divisors is an integer number (1411752808620).

Almost surely, 2^{102212211001120} is an apocalyptic number.

102212211001120 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 102212211001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135528269627520).

102212211001120 is an abundant number, since it is smaller than the sum of its proper divisors (168844328253920).

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

102212211001120 is a wasteful number, since it uses less digits than its factorization.

102212211001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849259 (or 10849251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212211001120 its reverse (21100112212201), we get a palindrome (123312323213321).

The spelling of 102212211001120 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, one thousand, one hundred twenty".