100012201211120 has 80 divisors (see below), whose sum is σ = 253742791609440. Its totient is φ = 36357251481600.

The previous prime is 100012201211113. The next prime is 100012201211129. The reversal of 100012201211120 is 21112102210001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012201211095 and 100012201211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012201211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13949525 + ... + 19864884.

It is an arithmetic number, because the mean of its divisors is an integer number (3171784895118).

Almost surely, 2^{100012201211120} is an apocalyptic number.

100012201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012201211120 is an abundant number, since it is smaller than the sum of its proper divisors (153730590398320).

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

100012201211120 is a wasteful number, since it uses less digits than its factorization.

100012201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33817794 (or 33817788 counting only the distinct ones).

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

Adding to 100012201211120 its reverse (21112102210001), we get a palindrome (121124303421121).

The spelling of 100012201211120 in words is "one hundred trillion, twelve billion, two hundred one million, two hundred eleven thousand, one hundred twenty".