102212012121120 has 384 divisors, whose sum is σ = 390339657953280. Its totient is φ = 24773868887040.

The previous prime is 102212012121101. The next prime is 102212012121209. The reversal of 102212012121120 is 21121210212201.

102212012121120 is a `hidden beast` number, since 1 + 0 + 221 + 201 + 2 + 121 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102212012121093 and 102212012121102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248181289 + ... + 248592791.

It is an arithmetic number, because the mean of its divisors is an integer number (1016509525920).

Almost surely, 2^{102212012121120} is an apocalyptic number.

102212012121120 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 102212012121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195169828976640).

102212012121120 is an abundant number, since it is smaller than the sum of its proper divisors (288127645832160).

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

102212012121120 is a wasteful number, since it uses less digits than its factorization.

102212012121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416765 (or 416751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102212012121120 its reverse (21121210212201), we get a palindrome (123333222333321).

The spelling of 102212012121120 in words is "one hundred two trillion, two hundred twelve billion, twelve million, one hundred twenty-one thousand, one hundred twenty".