100122002131200 has 864 divisors, whose sum is σ = 388359878210304. Its totient is φ = 22236264529920.

The previous prime is 100122002131087. The next prime is 100122002131247. The reversal of 100122002131200 is 2131200221001.

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 100122002131200.

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, 3764396302 + ... + 3764422898.

Almost surely, 2^{100122002131200} is an apocalyptic number.

100122002131200 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 100122002131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194179939105152).

100122002131200 is an abundant number, since it is smaller than the sum of its proper divisors (288237876079104).

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

100122002131200 is a wasteful number, since it uses less digits than its factorization.

100122002131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27427 (or 27408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100122002131200 its reverse (2131200221001), we get a palindrome (102253202352201).

The spelling of 100122002131200 in words is "one hundred trillion, one hundred twenty-two billion, two million, one hundred thirty-one thousand, two hundred".