100121011201120 has 960 divisors, whose sum is σ = 304044077542464. Its totient is φ = 30958684323840.

The previous prime is 100121011201111. The next prime is 100121011201139. The reversal of 100121011201120 is 21102110121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100121011201120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77553067675 + ... + 77553068965.

Almost surely, 2^{100121011201120} is an apocalyptic number.

100121011201120 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 100121011201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152022038771232).

100121011201120 is an abundant number, since it is smaller than the sum of its proper divisors (203923066341344).

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

100121011201120 is a wasteful number, since it uses less digits than its factorization.

100121011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100121011201120 its reverse (21102110121001), we get a palindrome (121223121322121).

The spelling of 100121011201120 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, two hundred one thousand, one hundred twenty".