100114440121020 has 384 divisors, whose sum is σ = 319170380562432. Its totient is φ = 23273826739200.

The previous prime is 100114440121009. The next prime is 100114440121037. The reversal of 100114440121020 is 20121044411001.

It is a super-2 number, since 2×100114440121020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394224685 + ... + 394478555.

It is an arithmetic number, because the mean of its divisors is an integer number (831172866048).

Almost surely, 2^{100114440121020} is an apocalyptic number.

100114440121020 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 100114440121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159585190281216).

100114440121020 is an abundant number, since it is smaller than the sum of its proper divisors (219055940441412).

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

100114440121020 is a wasteful number, since it uses less digits than its factorization.

100114440121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254321 (or 254319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100114440121020 its reverse (20121044411001), we get a palindrome (120235484532021).

The spelling of 100114440121020 in words is "one hundred trillion, one hundred fourteen billion, four hundred forty million, one hundred twenty-one thousand, twenty".