211101121202000 has 80 divisors (see below), whose sum is σ = 510452441555472. Its totient is φ = 84438805721600.

The previous prime is 211101121201973. The next prime is 211101121202039. The reversal of 211101121202000 is 202121101112.

It can be written as a sum of positive squares in 8 ways, for example, as 26641371294784 + 184459749907216 = 5161528^2 + 13581596^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104513654 + ... + 106514346.

Almost surely, 2^{211101121202000} is an apocalyptic number.

211101121202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101121202000 is an abundant number, since it is smaller than the sum of its proper divisors (299351320353472).

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

211101121202000 is a wasteful number, since it uses less digits than its factorization.

211101121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053473 (or 2053457 counting only the distinct ones).

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

Adding to 211101121202000 its reverse (202121101112), we get a palindrome (211303242303112).

The spelling of 211101121202000 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty-one million, two hundred two thousand".