100011202111002 has 128 divisors (see below), whose sum is σ = 249625601003520. Its totient is φ = 26007769474560.

The previous prime is 100011202110949. The next prime is 100011202111019. The reversal of 100011202111002 is 200111202110001.

It is a super-2 number, since 2×100011202111002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138784899 + ... + 139503657.

It is an arithmetic number, because the mean of its divisors is an integer number (1950200007840).

Almost surely, 2^{100011202111002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011202111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124812800501760).

100011202111002 is an abundant number, since it is smaller than the sum of its proper divisors (149614398892518).

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

100011202111002 is a wasteful number, since it uses less digits than its factorization.

100011202111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722348.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011202111002 its reverse (200111202110001), we get a palindrome (300122404221003).

The spelling of 100011202111002 in words is "one hundred trillion, eleven billion, two hundred two million, one hundred eleven thousand, two".