1022111101 has 16 divisors (see below), whose sum is σ = 1132714368. Its totient is φ = 914502400.

The previous prime is 1022111081. The next prime is 1022111107. The reversal of 1022111101 is 1011112201.

It is a cyclic number.

It is not a de Polignac number, because 1022111101 - 2¹³ = 1022102909 is a prime.

It is a super-2 number, since 2×1022111101² = 2089422205574864402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022111107) 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 15 ways as a sum of consecutive naturals, for example, 856161 + ... + 857353.

It is an arithmetic number, because the mean of its divisors is an integer number (70794648).

Almost surely, 2^1022111101 is an apocalyptic number.

1022111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022111101 is a deficient number, since it is larger than the sum of its proper divisors (110603267).

1022111101 is a wasteful number, since it uses less digits than its factorization.

1022111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1022111101 is about 31970.4723299485. The cubic root of 1022111101 is about 1007.3167023030.

Adding to 1022111101 its reverse (1011112201), we get a palindrome (2033223302).

The spelling of 1022111101 in words is "one billion, twenty-two million, one hundred eleven thousand, one hundred one".