201010110021120 has 320 divisors, whose sum is σ = 650092786238016. Its totient is φ = 52979879116800.

The previous prime is 201010110021073. The next prime is 201010110021121. The reversal of 201010110021120 is 21120011010102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201010110021096 and 201010110021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010110021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447342802 + ... + 447791918.

Almost surely, 2^{201010110021120} is an apocalyptic number.

201010110021120 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 201010110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325046393119008).

201010110021120 is an abundant number, since it is smaller than the sum of its proper divisors (449082676216896).

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

201010110021120 is a wasteful number, since it uses less digits than its factorization.

201010110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449821 (or 449805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201010110021120 its reverse (21120011010102), we get a palindrome (222130121031222).

The spelling of 201010110021120 in words is "two hundred one trillion, ten billion, one hundred ten million, twenty-one thousand, one hundred twenty".