100211020211120 has 80 divisors (see below), whose sum is σ = 286757688624960. Its totient is φ = 31715136064512.

The previous prime is 100211020211077. The next prime is 100211020211123. The reversal of 100211020211120 is 21112020112001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100211020211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100211020211095 and 100211020211104.

It is not an unprimeable number, because it can be changed into a prime (100211020211123) by changing a digit.

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, 6882617735 + ... + 6882632294.

It is an arithmetic number, because the mean of its divisors is an integer number (3584471107812).

Almost surely, 2^{100211020211120} is an apocalyptic number.

100211020211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211020211120 is an abundant number, since it is smaller than the sum of its proper divisors (186546668413840).

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

100211020211120 is a wasteful number, since it uses less digits than its factorization.

100211020211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765250062 (or 13765250056 counting only the distinct ones).

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

Adding to 100211020211120 its reverse (21112020112001), we get a palindrome (121323040323121).

The spelling of 100211020211120 in words is "one hundred trillion, two hundred eleven billion, twenty million, two hundred eleven thousand, one hundred twenty".