100211121002120 has 128 divisors (see below), whose sum is σ = 235866441646080. Its totient is φ = 38272975200000.

The previous prime is 100211121002029. The next prime is 100211121002141. The reversal of 100211121002120 is 21200121112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211121002095 and 100211121002104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76644665 + ... + 77941175.

It is an arithmetic number, because the mean of its divisors is an integer number (1842706575360).

Almost surely, 2^{100211121002120} is an apocalyptic number.

100211121002120 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 100211121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117933220823040).

100211121002120 is an abundant number, since it is smaller than the sum of its proper divisors (135655320643960).

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

100211121002120 is a wasteful number, since it uses less digits than its factorization.

100211121002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297387 (or 1297383 counting only the distinct ones).

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

Adding to 100211121002120 its reverse (21200121112001), we get a palindrome (121411242114121).

The spelling of 100211121002120 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-one million, two thousand, one hundred twenty".