1020122101011 has 32 divisors (see below), whose sum is σ = 1468583226880. Its totient is φ = 626142991104.

The previous prime is 1020122101007. The next prime is 1020122101039. The reversal of 1020122101011 is 1101012210201.

It is not a de Polignac number, because 1020122101011 - 2² = 1020122101007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020122101091) 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 31 ways as a sum of consecutive naturals, for example, 71096340 + ... + 71110686.

It is an arithmetic number, because the mean of its divisors is an integer number (45893225840).

Almost surely, 2^{1020122101011} is an apocalyptic number.

1020122101011 is a deficient number, since it is larger than the sum of its proper divisors (448461125869).

1020122101011 is a wasteful number, since it uses less digits than its factorization.

1020122101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020122101011 its reverse (1101012210201), we get a palindrome (2121134311212).

The spelling of 1020122101011 in words is "one trillion, twenty billion, one hundred twenty-two million, one hundred one thousand, eleven".