10201122133020 has 720 divisors, whose sum is σ = 40572885231648. Its totient is φ = 2126375193600.

The previous prime is 10201122133009. The next prime is 10201122133063. The reversal of 10201122133020 is 2033122110201.

10201122133020 is a `hidden beast` number, since 10 + 201 + 122 + 1 + 330 + 2 + 0 = 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 = 10201122132984 and 10201122133002.

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 239 ways as a sum of consecutive naturals, for example, 85591470 + ... + 85710570.

Almost surely, 2^{10201122133020} is an apocalyptic number.

10201122133020 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 10201122133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286442615824).

10201122133020 is an abundant number, since it is smaller than the sum of its proper divisors (30371763098628).

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

10201122133020 is a wasteful number, since it uses less digits than its factorization.

10201122133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119232 (or 119214 counting only the distinct ones).

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

Adding to 10201122133020 its reverse (2033122110201), we get a palindrome (12234244243221).

The spelling of 10201122133020 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred thirty-three thousand, twenty".