100122121111200 has 288 divisors, whose sum is σ = 326914937979840. Its totient is φ = 26616006451200.

The previous prime is 100122121111169. The next prime is 100122121111223. The reversal of 100122121111200 is 2111121221001.

It is a happy number.

It is a super-3 number, since 3×100122121111200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122121111200.

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, 1017255591 + ... + 1017354009.

It is an arithmetic number, because the mean of its divisors is an integer number (1135121312430).

Almost surely, 2^{100122121111200} is an apocalyptic number.

100122121111200 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 100122121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163457468989920).

100122121111200 is an abundant number, since it is smaller than the sum of its proper divisors (226792816868640).

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

100122121111200 is a wasteful number, since it uses less digits than its factorization.

100122121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99760 (or 99747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122121111200 its reverse (2111121221001), we get a palindrome (102233242332201).

The spelling of 100122121111200 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".