221200120100090 has 32 divisors (see below), whose sum is σ = 407876590222416. Its totient is φ = 86320908298240.

The previous prime is 221200120099993. The next prime is 221200120100107. The reversal of 221200120100090 is 90001021002122.

It is a happy number.

221200120100090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49314621418969 + 171885498681121 = 7022437^2 + 13110511^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29497214 + ... + 36228246.

Almost surely, 2^{221200120100090} is an apocalyptic number.

221200120100090 is a deficient number, since it is larger than the sum of its proper divisors (186676470122326).

221200120100090 is a wasteful number, since it uses less digits than its factorization.

221200120100090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811234.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 221200120100090 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty million, one hundred thousand, ninety".