100001121100002 has 64 divisors (see below), whose sum is σ = 222669662371200. Its totient is φ = 33266969645760.

The previous prime is 100001121099991. The next prime is 100001121100163. The reversal of 100001121100002 is 200001121100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997059477 + ... + 997159767.

It is an arithmetic number, because the mean of its divisors is an integer number (3479213474550).

Almost surely, 2^{100001121100002} is an apocalyptic number.

100001121100002 is an abundant number, since it is smaller than the sum of its proper divisors (122668541271198).

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

100001121100002 is a wasteful number, since it uses less digits than its factorization.

100001121100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137088 (or 137082 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001121100002 its reverse (200001121100001), we get a palindrome (300002242200003).

Subtracting 100001121100002 from its reverse (200001121100001), we obtain a palindrome (99999999999999).

The spelling of 100001121100002 in words is "one hundred trillion, one billion, one hundred twenty-one million, one hundred thousand, two".