10212200121214 has 128 divisors (see below), whose sum is σ = 20544556032000. Its totient is φ = 3692744391168.

The previous prime is 10212200121187. The next prime is 10212200121239. The reversal of 10212200121214 is 41212100221201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10212200121191 and 10212200121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143267347 + ... + 143338609.

It is an arithmetic number, because the mean of its divisors is an integer number (160504344000).

Almost surely, 2^{10212200121214} is an apocalyptic number.

10212200121214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10212200121214 is an abundant number, since it is smaller than the sum of its proper divisors (10332355910786).

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

10212200121214 is a wasteful number, since it uses less digits than its factorization.

10212200121214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72762.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10212200121214 its reverse (41212100221201), we get a palindrome (51424300342415).

The spelling of 10212200121214 in words is "ten trillion, two hundred twelve billion, two hundred million, one hundred twenty-one thousand, two hundred fourteen".