1020020101221 has 32 divisors (see below), whose sum is σ = 1489651430400. Its totient is φ = 615704209280.

The previous prime is 1020020101201. The next prime is 1020020101241. The reversal of 1020020101221 is 1221010200201.

It is an interprime number because it is at equal distance from previous prime (1020020101201) and next prime (1020020101241).

It is a cyclic number.

It is not a de Polignac number, because 1020020101221 - 2¹⁸ = 1020019839077 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020020101197 and 1020020101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020101201) 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, 9531010 + ... + 9637436.

It is an arithmetic number, because the mean of its divisors is an integer number (46551607200).

Almost surely, 2^{1020020101221} is an apocalyptic number.

1020020101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020020101221 is a deficient number, since it is larger than the sum of its proper divisors (469631329179).

1020020101221 is a wasteful number, since it uses less digits than its factorization.

1020020101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107609.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020020101221 its reverse (1221010200201), we get a palindrome (2241030301422).

The spelling of 1020020101221 in words is "one trillion, twenty billion, twenty million, one hundred one thousand, two hundred twenty-one".