221100121202000 has 40 divisors (see below), whose sum is σ = 534620093071272. Its totient is φ = 88440048480000.

The previous prime is 221100121201991. The next prime is 221100121202003. The reversal of 221100121202000 is 202121001122.

It can be written as a sum of positive squares in 4 ways, for example, as 45295645881616 + 175804475320384 = 6730204^2 + 13259128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100121202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55275028301 + ... + 55275032300.

Almost surely, 2^{221100121202000} is an apocalyptic number.

221100121202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100121202000 is an abundant number, since it is smaller than the sum of its proper divisors (313519971869272).

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

221100121202000 is a wasteful number, since it uses less digits than its factorization.

221100121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110550060624 (or 110550060608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221100121202000 its reverse (202121001122), we get a palindrome (221302242203122).

The spelling of 221100121202000 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, two hundred two thousand".