102000003001200 has 180 divisors, whose sum is σ = 366174149079960. Its totient is φ = 26262069711360.

The previous prime is 102000003001181. The next prime is 102000003001207. The reversal of 102000003001200 is 2100300000201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×102000003001200² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (102000003001207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488401362 + ... + 488610161.

It is an arithmetic number, because the mean of its divisors is an integer number (2034300828222).

Almost surely, 2^{102000003001200} is an apocalyptic number.

102000003001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000003001200 is an abundant number, since it is smaller than the sum of its proper divisors (264174146078760).

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

102000003001200 is a wasteful number, since it uses less digits than its factorization.

102000003001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977011576 (or 977011562 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102000003001200 its reverse (2100300000201), we get a palindrome (104100303001401).

The spelling of 102000003001200 in words is "one hundred two trillion, three million, one thousand, two hundred".