1010001211200 has 126 divisors (see below), whose sum is σ = 3589782828294. Its totient is φ = 269333652480.

The previous prime is 1010001211189. The next prime is 1010001211211. The reversal of 1010001211200 is 21121000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010001211189) and next prime (1010001211211).

It can be written as a sum of positive squares in 3 ways, for example, as 41792442624 + 968208768576 = 204432^2 + 983976^2 .

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35055087 + ... + 35083886.

Almost surely, 2^{1010001211200} is an apocalyptic number.

1010001211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001211200 is an abundant number, since it is smaller than the sum of its proper divisors (2579781617094).

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

1010001211200 is a wasteful number, since it uses less digits than its factorization.

1010001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70139001 (or 70138983 counting only the distinct ones).

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

Adding to 1010001211200 its reverse (21121000101), we get a palindrome (1031122211301).

The spelling of 1010001211200 in words is "one trillion, ten billion, one million, two hundred eleven thousand, two hundred".