10210012222200 has 384 divisors, whose sum is σ = 36976704768000. Its totient is φ = 2281933025280.

The previous prime is 10210012222147. The next prime is 10210012222219. The reversal of 10210012222200 is 222221001201.

It is a super-3 number, since 3×10210012222200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10210012222200.

It is a congruent number.

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, 216524226 + ... + 216571374.

It is an arithmetic number, because the mean of its divisors is an integer number (96293502000).

Almost surely, 2^{10210012222200} is an apocalyptic number.

10210012222200 is a gapful number since it is divisible by the number (10) 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 10210012222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488352384000).

10210012222200 is an abundant number, since it is smaller than the sum of its proper divisors (26766692545800).

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

10210012222200 is a wasteful number, since it uses less digits than its factorization.

10210012222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48319 (or 48310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10210012222200 its reverse (222221001201), we get a palindrome (10432233223401).

The spelling of 10210012222200 in words is "ten trillion, two hundred ten billion, twelve million, two hundred twenty-two thousand, two hundred".