1020011101221 has 16 divisors (see below), whose sum is σ = 1645732197504. Its totient is φ = 548577398784.

The previous prime is 1020011101217. The next prime is 1020011101231. The reversal of 1020011101221 is 1221011100201.

It is not a de Polignac number, because 1020011101221 - 2² = 1020011101217 is a prime.

It is a super-2 number, since 2×1020011101221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020011101197 and 1020011101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020011101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428586620 + ... + 1428587333.

It is an arithmetic number, because the mean of its divisors is an integer number (102858262344).

Almost surely, 2^{1020011101221} is an apocalyptic number.

It is an amenable number.

1020011101221 is a deficient number, since it is larger than the sum of its proper divisors (625721096283).

1020011101221 is a wasteful number, since it uses less digits than its factorization.

1020011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857173980.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020011101221 its reverse (1221011100201), we get a palindrome (2241022201422).

The spelling of 1020011101221 in words is "one trillion, twenty billion, eleven million, one hundred one thousand, two hundred twenty-one".