100211121020120 has 128 divisors (see below), whose sum is σ = 249650259770880. Its totient is φ = 35896468608000.

The previous prime is 100211121020113. The next prime is 100211121020123. The reversal of 100211121020120 is 21020121112001.

100211121020120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100211121020120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211121020095 and 100211121020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211121020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35212364 + ... + 37951716.

It is an arithmetic number, because the mean of its divisors is an integer number (1950392654460).

Almost surely, 2^{100211121020120} is an apocalyptic number.

100211121020120 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 100211121020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124825129885440).

100211121020120 is an abundant number, since it is smaller than the sum of its proper divisors (149439138750760).

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

100211121020120 is a wasteful number, since it uses less digits than its factorization.

100211121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740617 (or 2740613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211121020120 its reverse (21020121112001), we get a palindrome (121231242132121).

The spelling of 100211121020120 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-one million, twenty thousand, one hundred twenty".