1011001011021 has 24 divisors (see below), whose sum is σ = 1463328771840. Its totient is φ = 672619199616.

The previous prime is 1011001011011. The next prime is 1011001011047. The reversal of 1011001011021 is 1201101001101.

It is not a de Polignac number, because 1011001011021 - 2¹⁴ = 1011000994637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011001010994 and 1011001011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001011011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59718660 + ... + 59735586.

It is an arithmetic number, because the mean of its divisors is an integer number (60972032160).

Almost surely, 2^{1011001011021} is an apocalyptic number.

It is an amenable number.

1011001011021 is a deficient number, since it is larger than the sum of its proper divisors (452327760819).

1011001011021 is a wasteful number, since it uses less digits than its factorization.

1011001011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30145 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011001011021 its reverse (1201101001101), we get a palindrome (2212102012122).

The spelling of 1011001011021 in words is "one trillion, eleven billion, one million, eleven thousand, twenty-one".