100102121121200 has 240 divisors, whose sum is σ = 264571336112640. Its totient is φ = 36394644844800.

The previous prime is 100102121121053. The next prime is 100102121121221. The reversal of 100102121121200 is 2121121201001.

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, 4220322941 + ... + 4220346659.

It is an arithmetic number, because the mean of its divisors is an integer number (1102380567136).

Almost surely, 2^{100102121121200} is an apocalyptic number.

100102121121200 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 100102121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132285668056320).

100102121121200 is an abundant number, since it is smaller than the sum of its proper divisors (164469214991440).

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

100102121121200 is a wasteful number, since it uses less digits than its factorization.

100102121121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31697 (or 31664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100102121121200 its reverse (2121121201001), we get a palindrome (102223242322201).

The spelling of 100102121121200 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".