100202111102010 has 128 divisors (see below), whose sum is σ = 257873963904000. Its totient is φ = 24828545064960.

The previous prime is 100202111101987. The next prime is 100202111102039. The reversal of 100202111102010 is 10201111202001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575294416 + ... + 575468564.

It is an arithmetic number, because the mean of its divisors is an integer number (2014640343000).

Almost surely, 2^{100202111102010} is an apocalyptic number.

100202111102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202111102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128936981952000).

100202111102010 is an abundant number, since it is smaller than the sum of its proper divisors (157671852801990).

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

100202111102010 is a wasteful number, since it uses less digits than its factorization.

100202111102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188536.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100202111102010 its reverse (10201111202001), we get a palindrome (110403222304011).

Subtracting from 100202111102010 its reverse (10201111202001), we obtain a palindrome (90000999900009).

The spelling of 100202111102010 in words is "one hundred trillion, two hundred two billion, one hundred eleven million, one hundred two thousand, ten".