102211302203120 has 320 divisors, whose sum is σ = 283973960253312. Its totient is φ = 33790279680000.

The previous prime is 102211302203117. The next prime is 102211302203251. The reversal of 102211302203120 is 21302203112201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102211302203092 and 102211302203101.

It is a congruent number.

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, 61124402 + ... + 62774318.

Almost surely, 2^{102211302203120} is an apocalyptic number.

102211302203120 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 102211302203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141986980126656).

102211302203120 is an abundant number, since it is smaller than the sum of its proper divisors (181762658050192).

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

102211302203120 is a wasteful number, since it uses less digits than its factorization.

102211302203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650100 (or 1650094 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102211302203120 its reverse (21302203112201), we get a palindrome (123513505315321).

The spelling of 102211302203120 in words is "one hundred two trillion, two hundred eleven billion, three hundred two million, two hundred three thousand, one hundred twenty".