102201012000100 has 144 divisors (see below), whose sum is σ = 253019761948800. Its totient is φ = 35497091819520.

The previous prime is 102201012000067. The next prime is 102201012000107. The reversal of 102201012000100 is 1000210102201.

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

It is not an unprimeable number, because it can be changed into a prime (102201012000107) 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, 40295331 + ... + 42756469.

It is an arithmetic number, because the mean of its divisors is an integer number (1757081680200).

Almost surely, 2^{102201012000100} is an apocalyptic number.

102201012000100 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 102201012000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509880974400).

102201012000100 is an abundant number, since it is smaller than the sum of its proper divisors (150818749948700).

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

102201012000100 is a wasteful number, since it uses less digits than its factorization.

102201012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463062 (or 2463055 counting only the distinct ones).

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

Adding to 102201012000100 its reverse (1000210102201), we get a palindrome (103201222102301).

The spelling of 102201012000100 in words is "one hundred two trillion, two hundred one billion, twelve million, one hundred", and thus it is an aban number.