102100120201200 has 240 divisors, whose sum is σ = 377781365373696. Its totient is φ = 23295571046400.

The previous prime is 102100120201199. The next prime is 102100120201207. The reversal of 102100120201200 is 2102021001201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100120201207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227271412 + ... + 227720211.

Almost surely, 2^{102100120201200} is an apocalyptic number.

102100120201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100120201200 is an abundant number, since it is smaller than the sum of its proper divisors (275681245172496).

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

102100120201200 is a wasteful number, since it uses less digits than its factorization.

102100120201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454991672 (or 454991661 counting only the distinct ones).

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

Adding to 102100120201200 its reverse (2102021001201), we get a palindrome (104202141202401).

The spelling of 102100120201200 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, two hundred one thousand, two hundred".