102211033200120 has 384 divisors, whose sum is σ = 367440533591040. Its totient is φ = 24477429657600.

The previous prime is 102211033200077. The next prime is 102211033200163. The reversal of 102211033200120 is 21002330112201.

102211033200120 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 0 + 332 + 0 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (102211033200077) and next prime (102211033200163).

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 = 102211033200093 and 102211033200102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2692792182 + ... + 2692830138.

It is an arithmetic number, because the mean of its divisors is an integer number (956876389560).

Almost surely, 2^{102211033200120} is an apocalyptic number.

102211033200120 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 102211033200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183720266795520).

102211033200120 is an abundant number, since it is smaller than the sum of its proper divisors (265229500390920).

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

102211033200120 is a wasteful number, since it uses less digits than its factorization.

102211033200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53575 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102211033200120 its reverse (21002330112201), we get a palindrome (123213363312321).

The spelling of 102211033200120 in words is "one hundred two trillion, two hundred eleven billion, thirty-three million, two hundred thousand, one hundred twenty".