1020102101221 has 12 divisors (see below), whose sum is σ = 1209038997132. Its totient is φ = 857875619328.

The previous prime is 1020102101219. The next prime is 1020102101267. The reversal of 1020102101221 is 1221012010201.

1020102101221 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 2 ways, for example, as 797493650625 + 222608450596 = 893025^2 + 471814^2 .

It is not a de Polignac number, because 1020102101221 - 2¹ = 1020102101219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020102101621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196397500 + ... + 196402693.

It is an arithmetic number, because the mean of its divisors is an integer number (100753249761).

Almost surely, 2^{1020102101221} is an apocalyptic number.

It is an amenable number.

1020102101221 is a deficient number, since it is larger than the sum of its proper divisors (188936895911).

1020102101221 is an equidigital number, since it uses as much as digits as its factorization.

1020102101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392800260 (or 392800253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020102101221 its reverse (1221012010201), we get a palindrome (2241114111422).

The spelling of 1020102101221 in words is "one trillion, twenty billion, one hundred two million, one hundred one thousand, two hundred twenty-one".