100111002102120 has 256 divisors, whose sum is σ = 306440804448000. Its totient is φ = 26158684962816.

The previous prime is 100111002102119. The next prime is 100111002102131. The reversal of 100111002102120 is 21201200111001.

It is a super-3 number, since 3×100111002102120³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111002102096 and 100111002102105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853191616 + ... + 853308944.

It is an arithmetic number, because the mean of its divisors is an integer number (1197034392375).

Almost surely, 2^{100111002102120} is an apocalyptic number.

100111002102120 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 100111002102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153220402224000).

100111002102120 is an abundant number, since it is smaller than the sum of its proper divisors (206329802345880).

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

100111002102120 is a wasteful number, since it uses less digits than its factorization.

100111002102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118052 (or 118048 counting only the distinct ones).

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

Adding to 100111002102120 its reverse (21201200111001), we get a palindrome (121312202213121).

The spelling of 100111002102120 in words is "one hundred trillion, one hundred eleven billion, two million, one hundred two thousand, one hundred twenty".