1001122100100 has 360 divisors, whose sum is σ = 3448500484968. Its totient is φ = 250358169600.

The previous prime is 1001122100087. The next prime is 1001122100119. The reversal of 1001122100100 is 10012211001.

It is a happy number.

1001122100100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 91315169856 + 909806930244 = 302184^2 + 953838^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38680764 + ... + 38706636.

Almost surely, 2^{1001122100100} is an apocalyptic number.

1001122100100 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 1001122100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724250242484).

1001122100100 is an abundant number, since it is smaller than the sum of its proper divisors (2447378384868).

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

1001122100100 is a wasteful number, since it uses less digits than its factorization.

1001122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26197 (or 26181 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001122100100 its reverse (10012211001), we get a palindrome (1011134311101).

The spelling of 1001122100100 in words is "one trillion, one billion, one hundred twenty-two million, one hundred thousand, one hundred".