1202100133152 has 96 divisors (see below), whose sum is σ = 3212753544000. Its totient is φ = 393447292928.

The previous prime is 1202100133151. The next prime is 1202100133153. The reversal of 1202100133152 is 2513310012021.

It is an interprime number because it is at equal distance from previous prime (1202100133151) and next prime (1202100133153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1202100133152² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1202100133151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4730224 + ... + 4977872.

It is an arithmetic number, because the mean of its divisors is an integer number (33466182750).

Almost surely, 2^{1202100133152} is an apocalyptic number.

1202100133152 is a gapful number since it is divisible by the number (12) 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 1202100133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606376772000).

1202100133152 is an abundant number, since it is smaller than the sum of its proper divisors (2010653410848).

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

1202100133152 is a wasteful number, since it uses less digits than its factorization.

1202100133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248578 (or 248570 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1202100133152 its reverse (2513310012021), we get a palindrome (3715410145173).

The spelling of 1202100133152 in words is "one trillion, two hundred two billion, one hundred million, one hundred thirty-three thousand, one hundred fifty-two".