10201212304200 has 144 divisors (see below), whose sum is σ = 35094658680900. Its totient is φ = 2653973913600.

The previous prime is 10201212304189. The next prime is 10201212304219. The reversal of 10201212304200 is 240321210201.

It is a happy number.

10201212304200 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 212 + 30 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1789971058404 + 8411241245796 = 1337898^2 + 2900214^2 .

It is a super-2 number, since 2×10201212304200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69040105 + ... + 69187704.

Almost surely, 2^{10201212304200} is an apocalyptic number.

10201212304200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201212304200 is an abundant number, since it is smaller than the sum of its proper divisors (24893446376700).

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

10201212304200 is a wasteful number, since it uses less digits than its factorization.

10201212304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138227872 (or 138227860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10201212304200 its reverse (240321210201), we get a palindrome (10441533514401).

The spelling of 10201212304200 in words is "ten trillion, two hundred one billion, two hundred twelve million, three hundred four thousand, two hundred".