100120022102100 has 1152 divisors, whose sum is σ = 399727727788032. Its totient is φ = 18672004915200.

The previous prime is 100120022102003. The next prime is 100120022102131. The reversal of 100120022102100 is 1201220021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 383 ways as a sum of consecutive naturals, for example, 26188860789 + ... + 26188864611.

It is an arithmetic number, because the mean of its divisors is an integer number (346985874816).

Almost surely, 2^{100120022102100} is an apocalyptic number.

100120022102100 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 100120022102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199863863894016).

100120022102100 is an abundant number, since it is smaller than the sum of its proper divisors (299607705685932).

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

100120022102100 is a wasteful number, since it uses less digits than its factorization.

100120022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6258 counting only the distinct ones).

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

Adding to 100120022102100 its reverse (1201220021001), we get a palindrome (101321242123101).

The spelling of 100120022102100 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, one hundred two thousand, one hundred".