102115001200 has 180 divisors, whose sum is σ = 252555681880. Its totient is φ = 39675640320.

The previous prime is 102115001119. The next prime is 102115001227. The reversal of 102115001200 is 2100511201.

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, 144026446 + ... + 144027154.

Almost surely, 2^102115001200 is an apocalyptic number.

102115001200 is a gapful number since it is divisible by the number (10) 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 102115001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126277840940).

102115001200 is an abundant number, since it is smaller than the sum of its proper divisors (150440680680).

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

102115001200 is a wasteful number, since it uses less digits than its factorization.

102115001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 102115001200 its reverse (2100511201), we get a palindrome (104215512401).

The spelling of 102115001200 in words is "one hundred two billion, one hundred fifteen million, one thousand, two hundred".