100201212000120 has 384 divisors, whose sum is σ = 381493269158400. Its totient is φ = 20819817446400.

The previous prime is 100201212000103. The next prime is 100201212000137. The reversal of 100201212000120 is 21000212102001.

It is an interprime number because it is at equal distance from previous prime (100201212000103) and next prime (100201212000137).

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 = 100201212000096 and 100201212000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1489482085 + ... + 1489549355.

It is an arithmetic number, because the mean of its divisors is an integer number (993472055100).

Almost surely, 2^{100201212000120} is an apocalyptic number.

100201212000120 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 100201212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190746634579200).

100201212000120 is an abundant number, since it is smaller than the sum of its proper divisors (281292057158280).

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

100201212000120 is a wasteful number, since it uses less digits than its factorization.

100201212000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90339 (or 90328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201212000120 its reverse (21000212102001), we get a palindrome (121201424102121).

The spelling of 100201212000120 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.