201051929120 has 192 divisors, whose sum is σ = 574383156480. Its totient is φ = 64964395008.

The previous prime is 201051929119. The next prime is 201051929123. The reversal of 201051929120 is 21929150102.

201051929120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (201051929123) 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, 4082564 + ... + 4131516.

It is an arithmetic number, because the mean of its divisors is an integer number (2991578940).

Almost surely, 2^201051929120 is an apocalyptic number.

201051929120 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 201051929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287191578240).

201051929120 is an abundant number, since it is smaller than the sum of its proper divisors (373331227360).

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

201051929120 is a wasteful number, since it uses less digits than its factorization.

201051929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49187 (or 49179 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 201051929120 in words is "two hundred one billion, fifty-one million, nine hundred twenty-nine thousand, one hundred twenty".