1001210110200 has 144 divisors (see below), whose sum is σ = 3400177575600. Its totient is φ = 263989440000.

The previous prime is 1001210110189. The next prime is 1001210110213. The reversal of 1001210110200 is 20110121001.

It is a happy number.

1001210110200 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 2×1001210110200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2964676 + ... + 3285075.

It is an arithmetic number, because the mean of its divisors is an integer number (23612344275).

Almost surely, 2^{1001210110200} is an apocalyptic number.

1001210110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001210110200 is an abundant number, since it is smaller than the sum of its proper divisors (2398967465400).

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

1001210110200 is a wasteful number, since it uses less digits than its factorization.

1001210110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249862 (or 6249850 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001210110200 its reverse (20110121001), we get a palindrome (1021320231201).

The spelling of 1001210110200 in words is "one trillion, one billion, two hundred ten million, one hundred ten thousand, two hundred".