101213143200 has 216 divisors, whose sum is σ = 384357266748. Its totient is φ = 24913981440.

The previous prime is 101213143181. The next prime is 101213143201. The reversal of 101213143200 is 2341312101.

101213143200 is a `hidden beast` number, since 10 + 1 + 21 + 314 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38631116304 + 62582026896 = 196548^2 + 250164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101213143201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447069 + ... + 634268.

Almost surely, 2^101213143200 is an apocalyptic number.

101213143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213143200 is an abundant number, since it is smaller than the sum of its proper divisors (283144123548).

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

101213143200 is a wasteful number, since it uses less digits than its factorization.

101213143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081376 (or 1081360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101213143200 its reverse (2341312101), we get a palindrome (103554455301).

The spelling of 101213143200 in words is "one hundred one billion, two hundred thirteen million, one hundred forty-three thousand, two hundred".