101201145713052 has 288 divisors, whose sum is σ = 317589879511296. Its totient is φ = 24716208384000.

The previous prime is 101201145713051. The next prime is 101201145713071. The reversal of 101201145713052 is 250317541102101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201145713051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115125898 + ... + 116001614.

It is an arithmetic number, because the mean of its divisors is an integer number (1102742637192).

Almost surely, 2^{101201145713052} is an apocalyptic number.

101201145713052 is a gapful number since it is divisible by the number (12) 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 101201145713052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158794939755648).

101201145713052 is an abundant number, since it is smaller than the sum of its proper divisors (216388733798244).

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

101201145713052 is a wasteful number, since it uses less digits than its factorization.

101201145713052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876817 (or 876808 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

Adding to 101201145713052 its reverse (250317541102101), we get a palindrome (351518686815153).

The spelling of 101201145713052 in words is "one hundred one trillion, two hundred one billion, one hundred forty-five million, seven hundred thirteen thousand, fifty-two".