100001201202120 has 256 divisors, whose sum is σ = 307256824212480. Its totient is φ = 26025525248000.

The previous prime is 100001201202029. The next prime is 100001201202191. The reversal of 100001201202120 is 21202102100001.

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 = 100001201202096 and 100001201202105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8777419144 + ... + 8777430536.

It is an arithmetic number, because the mean of its divisors is an integer number (1200221969580).

Almost surely, 2^{100001201202120} is an apocalyptic number.

100001201202120 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 100001201202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153628412106240).

100001201202120 is an abundant number, since it is smaller than the sum of its proper divisors (207255623010360).

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

100001201202120 is a wasteful number, since it uses less digits than its factorization.

100001201202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15736 (or 15732 counting only the distinct ones).

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

Adding to 100001201202120 its reverse (21202102100001), we get a palindrome (121203303302121).

The spelling of 100001201202120 in words is "one hundred trillion, one billion, two hundred one million, two hundred two thousand, one hundred twenty".