101053541045200 has 120 divisors (see below), whose sum is σ = 244380708422552. Its totient is φ = 40155964047360.

The previous prime is 101053541045167. The next prime is 101053541045201. The reversal of 101053541045200 is 2540145350101.

It can be written as a sum of positive squares in 12 ways, for example, as 24151445305744 + 76902095739456 = 4914412^2 + 8769384^2 .

It is a super-2 number, since 2×101053541045200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101053541045201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35986432 + ... + 38692768.

Almost surely, 2^{101053541045200} is an apocalyptic number.

101053541045200 is a gapful number since it is divisible by the number (10) 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 101053541045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122190354211276).

101053541045200 is an abundant number, since it is smaller than the sum of its proper divisors (143327167377352).

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

101053541045200 is a wasteful number, since it uses less digits than its factorization.

101053541045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706969 (or 2706958 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 101053541045200 its reverse (2540145350101), we get a palindrome (103593686395301).

The spelling of 101053541045200 in words is "one hundred one trillion, fifty-three billion, five hundred forty-one million, forty-five thousand, two hundred".