201011253050300 has 288 divisors, whose sum is σ = 575846638456320. Its totient is φ = 58964321894400.

The previous prime is 201011253050291. The next prime is 201011253050323. The reversal of 201011253050300 is 3050352110102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4172151611 + ... + 4172199789.

It is an arithmetic number, because the mean of its divisors is an integer number (1999467494640).

Almost surely, 2^{201011253050300} is an apocalyptic number.

201011253050300 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 201011253050300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287923319228160).

201011253050300 is an abundant number, since it is smaller than the sum of its proper divisors (374835385406020).

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

201011253050300 is a wasteful number, since it uses less digits than its factorization.

201011253050300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80101 (or 80094 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 201011253050300 in words is "two hundred one trillion, eleven billion, two hundred fifty-three million, fifty thousand, three hundred".