221211202113000 has 288 divisors, whose sum is σ = 821845324689480. Its totient is φ = 53626957824000.

The previous prime is 221211202112941. The next prime is 221211202113073. The reversal of 221211202113000 is 311202112122.

221211202113000 is a `hidden beast` number, since 22 + 12 + 1 + 120 + 211 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70677884396196 + 150533317716804 = 8407014^2 + 12269202^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100477209 + ... + 102655208.

Almost surely, 2^{221211202113000} is an apocalyptic number.

221211202113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211202113000 is an abundant number, since it is smaller than the sum of its proper divisors (600634122576480).

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

221211202113000 is a wasteful number, since it uses less digits than its factorization.

221211202113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203132466 (or 203132438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221211202113000 its reverse (311202112122), we get a palindrome (221522404225122).

The spelling of 221211202113000 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred two million, one hundred thirteen thousand".