1020200221001 has 16 divisors (see below), whose sum is σ = 1107308134800. Its totient is φ = 934339676160.

The previous prime is 1020200220973. The next prime is 1020200221003. The reversal of 1020200221001 is 1001220020201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 63864871225 + 956335349776 = 252715^2 + 977924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020200221001 - 2²² = 1020196026697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020200221003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407581 + ... + 2005413.

It is an arithmetic number, because the mean of its divisors is an integer number (69206758425).

Almost surely, 2^{1020200221001} is an apocalyptic number.

It is an amenable number.

1020200221001 is a deficient number, since it is larger than the sum of its proper divisors (87107913799).

1020200221001 is a wasteful number, since it uses less digits than its factorization.

1020200221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598876.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020200221001 its reverse (1001220020201), we get a palindrome (2021420241202).

The spelling of 1020200221001 in words is "one trillion, twenty billion, two hundred million, two hundred twenty-one thousand, one".