100120130000212 has 144 divisors (see below), whose sum is σ = 217670956981632. Its totient is φ = 40079809566720.

The previous prime is 100120130000207. The next prime is 100120130000227. The reversal of 100120130000212 is 212000031021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120130000192 and 100120130000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929040412 + ... + 929148172.

It is an arithmetic number, because the mean of its divisors is an integer number (1511603867928).

Almost surely, 2^{100120130000212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120130000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108835478490816).

100120130000212 is an abundant number, since it is smaller than the sum of its proper divisors (117550826981420).

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

100120130000212 is a wasteful number, since it uses less digits than its factorization.

100120130000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112638 (or 112629 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100120130000212 its reverse (212000031021001), we get a palindrome (312120161021213).

The spelling of 100120130000212 in words is "one hundred trillion, one hundred twenty billion, one hundred thirty million, two hundred twelve", and thus it is an aban number.