100201101220110 has 128 divisors (see below), whose sum is σ = 263810676100608. Its totient is φ = 24155454528000.

The previous prime is 100201101220097. The next prime is 100201101220111. The reversal of 100201101220110 is 11022101102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201101220111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168932972 + ... + 1169018688.

It is an arithmetic number, because the mean of its divisors is an integer number (2061020907036).

Almost surely, 2^{100201101220110} is an apocalyptic number.

100201101220110 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 100201101220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131905338050304).

100201101220110 is an abundant number, since it is smaller than the sum of its proper divisors (163609574880498).

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

100201101220110 is a wasteful number, since it uses less digits than its factorization.

100201101220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105490.

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

Adding to 100201101220110 its reverse (11022101102001), we get a palindrome (111223202322111).

The spelling of 100201101220110 in words is "one hundred trillion, two hundred one billion, one hundred one million, two hundred twenty thousand, one hundred ten".