101343355200 has 1344 divisors, whose sum is σ = 413630668800. Its totient is φ = 24037171200.

The previous prime is 101343355187. The next prime is 101343355213. The reversal of 101343355200 is 2553343101.

101343355200 is a `hidden beast` number, since 1 + 0 + 134 + 3 + 3 + 5 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101343355187) and next prime (101343355213).

It is a super-3 number, since 3×101343355200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1427371165 + ... + 1427371235.

Almost surely, 2^101343355200 is an apocalyptic number.

101343355200 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 101343355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206815334400).

101343355200 is an abundant number, since it is smaller than the sum of its proper divisors (312287313600).

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

101343355200 is a wasteful number, since it uses less digits than its factorization.

101343355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 101343355200 its reverse (2553343101), we get a palindrome (103896698301).

The spelling of 101343355200 in words is "one hundred one billion, three hundred forty-three million, three hundred fifty-five thousand, two hundred".