10212001102200 has 96 divisors (see below), whose sum is σ = 31662635961600. Its totient is φ = 2722732978560.

The previous prime is 10212001102153. The next prime is 10212001102211. The reversal of 10212001102200 is 220110021201.

10212001102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10212001102200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2045959 + ... + 4960841.

It is an arithmetic number, because the mean of its divisors is an integer number (329819124600).

Almost surely, 2^{10212001102200} is an apocalyptic number.

10212001102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212001102200 is an abundant number, since it is smaller than the sum of its proper divisors (21450634859400).

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

10212001102200 is a wasteful number, since it uses less digits than its factorization.

10212001102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920741 (or 2920732 counting only the distinct ones).

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

Adding to 10212001102200 its reverse (220110021201), we get a palindrome (10432111123401).

The spelling of 10212001102200 in words is "ten trillion, two hundred twelve billion, one million, one hundred two thousand, two hundred".