201012141537972 has 336 divisors, whose sum is σ = 540747325198080. Its totient is φ = 65322012854016.

The previous prime is 201012141537971. The next prime is 201012141537989. The reversal of 201012141537972 is 279735141210102.

201012141537972 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 2 + 1 + 41 + 537 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012141537971) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48355095718 + ... + 48355099874.

It is an arithmetic number, because the mean of its divisors is an integer number (1609367039280).

Almost surely, 2^{201012141537972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012141537972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270373662599040).

201012141537972 is an abundant number, since it is smaller than the sum of its proper divisors (339735183660108).

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

201012141537972 is a wasteful number, since it uses less digits than its factorization.

201012141537972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 201012141537972 in words is "two hundred one trillion, twelve billion, one hundred forty-one million, five hundred thirty-seven thousand, nine hundred seventy-two".