100012012101120 has 1280 divisors, whose sum is σ = 396936478439424. Its totient is φ = 20958412800000.

The previous prime is 100012012101061. The next prime is 100012012101173. The reversal of 100012012101120 is 21101210210001.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 100012012101096 and 100012012101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30763459495 + ... + 30763462745.

Almost surely, 2^{100012012101120} is an apocalyptic number.

100012012101120 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 100012012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198468239219712).

100012012101120 is an abundant number, since it is smaller than the sum of its proper divisors (296924466338304).

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

100012012101120 is a wasteful number, since it uses less digits than its factorization.

100012012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4147 counting only the distinct ones).

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

Adding to 100012012101120 its reverse (21101210210001), we get a palindrome (121113222311121).

The spelling of 100012012101120 in words is "one hundred trillion, twelve billion, twelve million, one hundred one thousand, one hundred twenty".