110020212002100 has 144 divisors (see below), whose sum is σ = 327495148705088. Its totient is φ = 28496310312960.

The previous prime is 110020212002093. The next prime is 110020212002131. The reversal of 110020212002100 is 1200212020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2184322 + ... + 14993721.

Almost surely, 2^{110020212002100} is an apocalyptic number.

110020212002100 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 110020212002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163747574352544).

110020212002100 is an abundant number, since it is smaller than the sum of its proper divisors (217474936702988).

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

110020212002100 is a wasteful number, since it uses less digits than its factorization.

110020212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178674 (or 17178667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110020212002100 its reverse (1200212020011), we get a palindrome (111220424022111).

The spelling of 110020212002100 in words is "one hundred ten trillion, twenty billion, two hundred twelve million, two thousand, one hundred".