100101121001100 has 432 divisors, whose sum is σ = 318315772320000. Its totient is φ = 26308947018240.

The previous prime is 100101121001093. The next prime is 100101121001111. The reversal of 100101121001100 is 1100121101001.

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 143 ways as a sum of consecutive naturals, for example, 17994086919 + ... + 17994092481.

Almost surely, 2^{100101121001100} is an apocalyptic number.

100101121001100 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 100101121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159157886160000).

100101121001100 is an abundant number, since it is smaller than the sum of its proper divisors (218214651318900).

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

100101121001100 is a wasteful number, since it uses less digits than its factorization.

100101121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101121001100 its reverse (1100121101001), we get a palindrome (101201242102101).

Subtracting from 100101121001100 its reverse (1100121101001), we obtain a palindrome (99000999900099).

The spelling of 100101121001100 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one thousand, one hundred".