1020101121221 has 48 divisors (see below), whose sum is σ = 1293812928000. Its totient is φ = 803578007232.

The previous prime is 1020101121187. The next prime is 1020101121283. The reversal of 1020101121221 is 1221211010201.

1020101121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020101121221 - 2¹⁴ = 1020101104837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020101121196 and 1020101121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101121121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13236020 + ... + 13312866.

It is an arithmetic number, because the mean of its divisors is an integer number (26954436000).

Almost surely, 2^{1020101121221} is an apocalyptic number.

It is an amenable number.

1020101121221 is a deficient number, since it is larger than the sum of its proper divisors (273711806779).

1020101121221 is an equidigital number, since it uses as much as digits as its factorization.

1020101121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77123 (or 77096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020101121221 its reverse (1221211010201), we get a palindrome (2241312131422).

The spelling of 1020101121221 in words is "one trillion, twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty-one".