10102122020011 has 16 divisors (see below), whose sum is σ = 11601007142400. Its totient is φ = 8617207687488.

The previous prime is 10102122019921. The next prime is 10102122020033. The reversal of 10102122020011 is 11002022120101.

It is a cyclic number.

It is not a de Polignac number, because 10102122020011 - 2¹¹ = 10102122017963 is a prime.

It is a super-2 number, since 2×10102122020011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102122019973 and 10102122020000.

It is not an unprimeable number, because it can be changed into a prime (10102122020411) 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, 1416480 + ... + 4712818.

It is an arithmetic number, because the mean of its divisors is an integer number (725062946400).

Almost surely, 2^{10102122020011} is an apocalyptic number.

10102122020011 is a deficient number, since it is larger than the sum of its proper divisors (1498885122389).

10102122020011 is a wasteful number, since it uses less digits than its factorization.

10102122020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298458.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102122020011 its reverse (11002022120101), we get a palindrome (21104144140112).

The spelling of 10102122020011 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, twenty thousand, eleven".