102012230100 has 288 divisors, whose sum is σ = 341370150912. Its totient is φ = 23284800000.

The previous prime is 102012230081. The next prime is 102012230141. The reversal of 102012230100 is 1032210201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3771625 + ... + 3798575.

It is an arithmetic number, because the mean of its divisors is an integer number (1185313024).

Almost surely, 2^102012230100 is an apocalyptic number.

102012230100 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 102012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170685075456).

102012230100 is an abundant number, since it is smaller than the sum of its proper divisors (239357920812).

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

102012230100 is a wasteful number, since it uses less digits than its factorization.

102012230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27047 (or 27040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102012230100 its reverse (1032210201), we get a palindrome (103044440301).

The spelling of 102012230100 in words is "one hundred two billion, twelve million, two hundred thirty thousand, one hundred".