100120101000000 has 1176 divisors, whose sum is σ = 352010919202560. Its totient is φ = 25109913600000.

The previous prime is 100120100999983. The next prime is 100120101000037. The reversal of 100120101000000 is 101021001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 167 ways as a sum of consecutive naturals, for example, 209018999761 + ... + 209019000239.

Almost surely, 2^{100120101000000} is an apocalyptic number.

100120101000000 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 100120101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176005459601280).

100120101000000 is an abundant number, since it is smaller than the sum of its proper divisors (251890818202560).

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

100120101000000 is an frugal number, since it uses more digits than its factorization.

100120101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100120101000000 its reverse (101021001), we get a palindrome (100120202021001).

The spelling of 100120101000000 in words is "one hundred trillion, one hundred twenty billion, one hundred one million", and thus it is an aban number.