20135102122350 has 192 divisors, whose sum is σ = 56443166424000. Its totient is φ = 5276636006400.

The previous prime is 20135102122349. The next prime is 20135102122363. The reversal of 20135102122350 is 5322120153102.

20135102122350 is a `hidden beast` number, since 20 + 1 + 3 + 510 + 2 + 122 + 3 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92864866 + ... + 93081434.

It is an arithmetic number, because the mean of its divisors is an integer number (293974825125).

Almost surely, 2^{20135102122350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135102122350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28221583212000).

20135102122350 is an abundant number, since it is smaller than the sum of its proper divisors (36308064301650).

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

20135102122350 is a wasteful number, since it uses less digits than its factorization.

20135102122350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217780 (or 217769 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20135102122350 its reverse (5322120153102), we get a palindrome (25457222275452).

The spelling of 20135102122350 in words is "twenty trillion, one hundred thirty-five billion, one hundred two million, one hundred twenty-two thousand, three hundred fifty".