101213200 has 60 divisors (see below), whose sum is σ = 265282128. Its totient is φ = 36803200.

The previous prime is 101213173. The next prime is 101213201. The reversal of 101213200 is 2312101.

It is a super-2 number, since 2×101213200² = 20488223708480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101213201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7102 + ... + 15901.

Almost surely, 2^101213200 is an apocalyptic number.

101213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213200 is an abundant number, since it is smaller than the sum of its proper divisors (164068928).

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

101213200 is a wasteful number, since it uses less digits than its factorization.

101213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23032 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101213200 is about 10060.4771258624. The cubic root of 101213200 is about 466.0284018129.

Adding to 101213200 its reverse (2312101), we get a palindrome (103525301).

The spelling of 101213200 in words is "one hundred one million, two hundred thirteen thousand, two hundred".