290100002000221 has 32 divisors (see below), whose sum is σ = 366310954879488. Its totient is φ = 223853355939840.

The previous prime is 290100002000213. The next prime is 290100002000269. The reversal of 290100002000221 is 122000200001092.

It is not a de Polignac number, because 290100002000221 - 2³ = 290100002000213 is a prime.

It is a super-2 number, since 2×290100002000221² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290100002000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468158031 + ... + 468777283.

It is an arithmetic number, because the mean of its divisors is an integer number (11447217339984).

Almost surely, 2^{290100002000221} is an apocalyptic number.

It is an amenable number.

290100002000221 is a deficient number, since it is larger than the sum of its proper divisors (76210952879267).

290100002000221 is a wasteful number, since it uses less digits than its factorization.

290100002000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790461.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 290100002000221 in words is "two hundred ninety trillion, one hundred billion, two million, two hundred twenty-one", and thus it is an aban number.