110202111020100 has 1152 divisors, whose sum is σ = 368385189838848. Its totient is φ = 25404192000000.

The previous prime is 110202111020077. The next prime is 110202111020117. The reversal of 110202111020100 is 1020111202011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 226287702057 + ... + 226287702543.

It is an arithmetic number, because the mean of its divisors is an integer number (319778810624).

Almost surely, 2^{110202111020100} is an apocalyptic number.

110202111020100 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 110202111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184192594919424).

110202111020100 is an abundant number, since it is smaller than the sum of its proper divisors (258183078818748).

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

110202111020100 is a wasteful number, since it uses less digits than its factorization.

110202111020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 821 counting only the distinct ones).

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

Adding to 110202111020100 its reverse (1020111202011), we get a palindrome (111222222222111).

It can be divided in two parts, 1102021 and 11020100, that added together give a palindrome (12122121).

The spelling of 110202111020100 in words is "one hundred ten trillion, two hundred two billion, one hundred eleven million, twenty thousand, one hundred".