102201010212100 has 144 divisors (see below), whose sum is σ = 225571802480640. Its totient is φ = 40187766643200.

The previous prime is 102201010212073. The next prime is 102201010212137. The reversal of 102201010212100 is 1212010102201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797303614 + ... + 797431786.

It is an arithmetic number, because the mean of its divisors is an integer number (1566470850560).

Almost surely, 2^{102201010212100} is an apocalyptic number.

102201010212100 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 102201010212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112785901240320).

102201010212100 is an abundant number, since it is smaller than the sum of its proper divisors (123370792268540).

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

102201010212100 is a wasteful number, since it uses less digits than its factorization.

102201010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128870 (or 128863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201010212100 its reverse (1212010102201), we get a palindrome (103413020314301).

The spelling of 102201010212100 in words is "one hundred two trillion, two hundred one billion, ten million, two hundred twelve thousand, one hundred".