100122141321000 has 192 divisors, whose sum is σ = 338562052966800. Its totient is φ = 26687465280000.

The previous prime is 100122141320989. The next prime is 100122141321029. The reversal of 100122141321000 is 123141221001.

100122141321000 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 413 + 21 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4334149387044 + 95787991933956 = 2081862^2 + 9787134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17969550 + ... + 22872450.

Almost surely, 2^{100122141321000} is an apocalyptic number.

100122141321000 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 100122141321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169281026483400).

100122141321000 is an abundant number, since it is smaller than the sum of its proper divisors (238439911645800).

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

100122141321000 is a wasteful number, since it uses less digits than its factorization.

100122141321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905197 (or 4905180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100122141321000 its reverse (123141221001), we get a palindrome (100245282542001).

Subtracting from 100122141321000 its reverse (123141221001), we obtain a palindrome (99999000099999).

The spelling of 100122141321000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred forty-one million, three hundred twenty-one thousand".