1020101022011 has 8 divisors (see below), whose sum is σ = 1058299008000. Its totient is φ = 982233754920.

The previous prime is 1020101021999. The next prime is 1020101022013. The reversal of 1020101022011 is 1102201010201.

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 1020101022011 - 2²² = 1020096827707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020101021983 and 1020101022001.

It is not an unprimeable number, because it can be changed into a prime (1020101022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82673441 + ... + 82685778.

It is an arithmetic number, because the mean of its divisors is an integer number (132287376000).

Almost surely, 2^{1020101022011} is an apocalyptic number.

1020101022011 is a deficient number, since it is larger than the sum of its proper divisors (38197985989).

1020101022011 is a wasteful number, since it uses less digits than its factorization.

1020101022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165359449.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020101022011 its reverse (1102201010201), we get a palindrome (2122302032212).

The spelling of 1020101022011 in words is "one trillion, twenty billion, one hundred one million, twenty-two thousand, eleven".