101022110102011 has 16 divisors (see below), whose sum is σ = 115489082681280. Its totient is φ = 86563951718400.

The previous prime is 101022110101999. The next prime is 101022110102083. The reversal of 101022110102011 is 110201011220101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101022110102011 - 2¹⁹ = 101022109577723 is a prime.

It is a super-3 number, since 3×101022110102011³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022110101982 and 101022110102000.

It is not an unprimeable number, because it can be changed into a prime (101022110102911) 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, 359757015 + ... + 360037711.

It is an arithmetic number, because the mean of its divisors is an integer number (7218067667580).

Almost surely, 2^{101022110102011} is an apocalyptic number.

101022110102011 is a deficient number, since it is larger than the sum of its proper divisors (14466972579269).

101022110102011 is a wasteful number, since it uses less digits than its factorization.

101022110102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296214.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101022110102011 its reverse (110201011220101), we get a palindrome (211223121322112).

The spelling of 101022110102011 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, one hundred two thousand, eleven".