1021011111021 has 64 divisors (see below), whose sum is σ = 1553358643200. Its totient is φ = 590903808000.

The previous prime is 1021011111007. The next prime is 1021011111031. The reversal of 1021011111021 is 1201111101201.

1021011111021 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021011111021 - 2⁶ = 1021011110957 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1021011110988 and 1021011111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021011111031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74798005 + ... + 74811653.

It is an arithmetic number, because the mean of its divisors is an integer number (24271228800).

Almost surely, 2^{1021011111021} is an apocalyptic number.

1021011111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021011111021 is a deficient number, since it is larger than the sum of its proper divisors (532347532179).

1021011111021 is a wasteful number, since it uses less digits than its factorization.

1021011111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14658.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1021011111021 its reverse (1201111101201), we get a palindrome (2222122212222).

The spelling of 1021011111021 in words is "one trillion, twenty-one billion, eleven million, one hundred eleven thousand, twenty-one".