211121112100002 has 128 divisors (see below), whose sum is σ = 464324844662784. Its totient is φ = 63594085970688.

The previous prime is 211121112099983. The next prime is 211121112100007. The reversal of 211121112100002 is 200001211121112.

It is a happy number.

It is a super-2 number, since 2×211121112100002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121112100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5064414403 + ... + 5064456089.

It is an arithmetic number, because the mean of its divisors is an integer number (3627537848928).

Almost surely, 2^{211121112100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121112100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232162422331392).

211121112100002 is an abundant number, since it is smaller than the sum of its proper divisors (253203732562782).

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

211121112100002 is a wasteful number, since it uses less digits than its factorization.

211121112100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44432.

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

Adding to 211121112100002 its reverse (200001211121112), we get a palindrome (411122323221114).

The spelling of 211121112100002 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thousand, two".