100102020101200 has 480 divisors, whose sum is σ = 279611667207936. Its totient is φ = 34104851988480.

The previous prime is 100102020101179. The next prime is 100102020101203. The reversal of 100102020101200 is 2101020201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102020101203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6948144397 + ... + 6948158803.

Almost surely, 2^{100102020101200} is an apocalyptic number.

100102020101200 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 100102020101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139805833603968).

100102020101200 is an abundant number, since it is smaller than the sum of its proper divisors (179509647106736).

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

100102020101200 is a wasteful number, since it uses less digits than its factorization.

100102020101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102020101200 its reverse (2101020201001), we get a palindrome (102203040302201).

The spelling of 100102020101200 in words is "one hundred trillion, one hundred two billion, twenty million, one hundred one thousand, two hundred".