1022101101011 has 16 divisors (see below), whose sum is σ = 1035903420288. Its totient is φ = 1008396480000.

The previous prime is 1022101101001. The next prime is 1022101101089. The reversal of 1022101101011 is 1101011012201.

It is a cyclic number.

It is not a de Polignac number, because 1022101101011 - 2⁶ = 1022101100947 is a prime.

It is a super-3 number, since 3×1022101101011³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022101100983 and 1022101101001.

It is not an unprimeable number, because it can be changed into a prime (1022101101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42134636 + ... + 42158886.

It is an arithmetic number, because the mean of its divisors is an integer number (64743963768).

Almost surely, 2^{1022101101011} is an apocalyptic number.

1022101101011 is a deficient number, since it is larger than the sum of its proper divisors (13802319277).

1022101101011 is a wasteful number, since it uses less digits than its factorization.

1022101101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26242.

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

Adding to 1022101101011 its reverse (1101011012201), we get a palindrome (2123112113212).

The spelling of 1022101101011 in words is "one trillion, twenty-two billion, one hundred one million, one hundred one thousand, eleven".