1021101021011 has 8 divisors (see below), whose sum is σ = 1021416769680. Its totient is φ = 1020785334912.

The previous prime is 1021101021007. The next prime is 1021101021013. The reversal of 1021101021011 is 1101201011201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1021101021011 - 2² = 1021101021007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021101020983 and 1021101021001.

It is not an unprimeable number, because it can be changed into a prime (1021101021013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75557591 + ... + 75571103.

It is an arithmetic number, because the mean of its divisors is an integer number (127677096210).

Almost surely, 2^{1021101021011} is an apocalyptic number.

1021101021011 is a deficient number, since it is larger than the sum of its proper divisors (315748669).

1021101021011 is a wasteful number, since it uses less digits than its factorization.

1021101021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31285.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021101021011 its reverse (1101201011201), we get a palindrome (2122302032212).

The spelling of 1021101021011 in words is "one trillion, twenty-one billion, one hundred one million, twenty-one thousand, eleven".