100100220201100 has 144 divisors (see below), whose sum is σ = 254570446670848. Its totient is φ = 33449527964160.

The previous prime is 100100220201083. The next prime is 100100220201127. The reversal of 100100220201100 is 1102022001001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10344952 + ... + 17527648.

Almost surely, 2^{100100220201100} is an apocalyptic number.

100100220201100 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 100100220201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127285223335424).

100100220201100 is an abundant number, since it is smaller than the sum of its proper divisors (154470226469748).

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

100100220201100 is a wasteful number, since it uses less digits than its factorization.

100100220201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183224 (or 7183217 counting only the distinct ones).

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

Adding to 100100220201100 its reverse (1102022001001), we get a palindrome (101202242202101).

The spelling of 100100220201100 in words is "one hundred trillion, one hundred billion, two hundred twenty million, two hundred one thousand, one hundred".