101013202133200 has 240 divisors, whose sum is σ = 292536088000000. Its totient is φ = 32744542533120.

The previous prime is 101013202133197. The next prime is 101013202133201. The reversal of 101013202133200 is 2331202310101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013202133201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24644251 + ... + 28449349.

Almost surely, 2^{101013202133200} is an apocalyptic number.

101013202133200 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 101013202133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146268044000000).

101013202133200 is an abundant number, since it is smaller than the sum of its proper divisors (191522885866800).

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

101013202133200 is a wasteful number, since it uses less digits than its factorization.

101013202133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805642 (or 3805631 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101013202133200 its reverse (2331202310101), we get a palindrome (103344404443301).

The spelling of 101013202133200 in words is "one hundred one trillion, thirteen billion, two hundred two million, one hundred thirty-three thousand, two hundred".