2010214224200 has 384 divisors, whose sum is σ = 5807965766400. Its totient is φ = 630074142720.

The previous prime is 2010214224121. The next prime is 2010214224233. The reversal of 2010214224200 is 24224120102.

It is a super-2 number, since 2×2010214224200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 922538711 + ... + 922540889.

It is an arithmetic number, because the mean of its divisors is an integer number (15124910850).

Almost surely, 2^{2010214224200} is an apocalyptic number.

2010214224200 is a gapful number since it is divisible by the number (20) 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 2010214224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903982883200).

2010214224200 is an abundant number, since it is smaller than the sum of its proper divisors (3797751542200).

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

2010214224200 is a wasteful number, since it uses less digits than its factorization.

2010214224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2010214224200 its reverse (24224120102), we get a palindrome (2034438344302).

The spelling of 2010214224200 in words is "two trillion, ten billion, two hundred fourteen million, two hundred twenty-four thousand, two hundred".