10210002112200 has 96 divisors (see below), whose sum is σ = 34528370801760. Its totient is φ = 2475152025600.

The previous prime is 10210002112157. The next prime is 10210002112207. The reversal of 10210002112200 is 221120001201.

It is a super-2 number, since 2×10210002112200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10210002112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773478409 + ... + 773491608.

It is an arithmetic number, because the mean of its divisors is an integer number (359670529185).

Almost surely, 2^{10210002112200} is an apocalyptic number.

10210002112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210002112200 is an abundant number, since it is smaller than the sum of its proper divisors (24318368689560).

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

10210002112200 is a wasteful number, since it uses less digits than its factorization.

10210002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546970047 (or 1546970038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210002112200 its reverse (221120001201), we get a palindrome (10431122113401).

The spelling of 10210002112200 in words is "ten trillion, two hundred ten billion, two million, one hundred twelve thousand, two hundred".