1011011001021 has 48 divisors (see below), whose sum is σ = 1683262963200. Its totient is φ = 572784506784.

The previous prime is 1011011000983. The next prime is 1011011001047. The reversal of 1011011001021 is 1201001101101.

It is not a de Polignac number, because 1011011001021 - 2¹⁹ = 1011010476733 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 = 1011011000994 and 1011011001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011001421) 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, 6393310 + ... + 6549536.

It is an arithmetic number, because the mean of its divisors is an integer number (35067978400).

Almost surely, 2^{1011011001021} is an apocalyptic number.

It is an amenable number.

1011011001021 is a deficient number, since it is larger than the sum of its proper divisors (672251962179).

1011011001021 is a wasteful number, since it uses less digits than its factorization.

1011011001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157118 (or 157115 counting only the distinct ones).

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

Adding to 1011011001021 its reverse (1201001101101), we get a palindrome (2212012102122).

The spelling of 1011011001021 in words is "one trillion, eleven billion, eleven million, one thousand, twenty-one".