1011241131021 has 64 divisors (see below), whose sum is σ = 1746342892800. Its totient is φ = 571529779200.

The previous prime is 1011241131013. The next prime is 1011241131049. The reversal of 1011241131021 is 1201311421101.

It is not a de Polignac number, because 1011241131021 - 2³ = 1011241131013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011241130985 and 1011241131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011241131421) 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, 368400 + ... + 1469081.

It is an arithmetic number, because the mean of its divisors is an integer number (27286607700).

Almost surely, 2^{1011241131021} is an apocalyptic number.

1011241131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011241131021 is a deficient number, since it is larger than the sum of its proper divisors (735101761779).

1011241131021 is a wasteful number, since it uses less digits than its factorization.

1011241131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837627 (or 1837621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011241131021 its reverse (1201311421101), we get a palindrome (2212552552122).

The spelling of 1011241131021 in words is "one trillion, eleven billion, two hundred forty-one million, one hundred thirty-one thousand, twenty-one".