201010100101120 has 448 divisors, whose sum is σ = 525179734877952. Its totient is φ = 73553412096000.

The previous prime is 201010100101117. The next prime is 201010100101127. The reversal of 201010100101120 is 21101001010102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201010100101097 and 201010100101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010100101127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7736798530 + ... + 7736824510.

It is an arithmetic number, because the mean of its divisors is an integer number (1172276193924).

Almost surely, 2^{201010100101120} is an apocalyptic number.

201010100101120 is a gapful number since it is divisible by the number (20) 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 201010100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262589867438976).

201010100101120 is an abundant number, since it is smaller than the sum of its proper divisors (324169634776832).

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

201010100101120 is a wasteful number, since it uses less digits than its factorization.

201010100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26341 (or 26317 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201010100101120 its reverse (21101001010102), we get a palindrome (222111101111222).

The spelling of 201010100101120 in words is "two hundred one trillion, ten billion, one hundred million, one hundred one thousand, one hundred twenty".