100121121112002 has 64 divisors (see below), whose sum is σ = 209525895072000. Its totient is φ = 31853961796608.

The previous prime is 100121121111961. The next prime is 100121121112009. The reversal of 100121121112002 is 200211121121001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100121121112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5288574 + ... + 15106662.

It is an arithmetic number, because the mean of its divisors is an integer number (3273842110500).

Almost surely, 2^{100121121112002} is an apocalyptic number.

100121121112002 is an abundant number, since it is smaller than the sum of its proper divisors (109404773959998).

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

100121121112002 is a wasteful number, since it uses less digits than its factorization.

100121121112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9818795.

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

Adding to 100121121112002 its reverse (200211121121001), we get a palindrome (300332242233003).

The spelling of 100121121112002 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, two".