100211021100120 has 64 divisors (see below), whose sum is σ = 343580643774720. Its totient is φ = 22905376251264.

The previous prime is 100211021100119. The next prime is 100211021100143. The reversal of 100211021100120 is 21001120112001.

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 = 100211021100096 and 100211021100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59649416482 + ... + 59649418161.

It is an arithmetic number, because the mean of its divisors is an integer number (5368447558980).

Almost surely, 2^{100211021100120} is an apocalyptic number.

100211021100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211021100120 is an abundant number, since it is smaller than the sum of its proper divisors (243369622674600).

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

100211021100120 is a wasteful number, since it uses less digits than its factorization.

100211021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119298834664 (or 119298834660 counting only the distinct ones).

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

Adding to 100211021100120 its reverse (21001120112001), we get a palindrome (121212141212121).

The spelling of 100211021100120 in words is "one hundred trillion, two hundred eleven billion, twenty-one million, one hundred thousand, one hundred twenty".