101022102100011 has 8 divisors (see below), whose sum is σ = 134697119872000. Its totient is φ = 67347576197352.

The previous prime is 101022102100009. The next prime is 101022102100013. The reversal of 101022102100011 is 110001201220101.

It is an interprime number because it is at equal distance from previous prime (101022102100009) and next prime (101022102100013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101022102100011 - 2¹ = 101022102100009 is a prime.

It is a super-2 number, since 2×101022102100011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022102100011.

It is not an unprimeable number, because it can be changed into a prime (101022102100013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122487835 + ... + 123309828.

It is an arithmetic number, because the mean of its divisors is an integer number (16837139984000).

Almost surely, 2^{101022102100011} is an apocalyptic number.

101022102100011 is a deficient number, since it is larger than the sum of its proper divisors (33675017771989).

101022102100011 is a wasteful number, since it uses less digits than its factorization.

101022102100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245934665.

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

Adding to 101022102100011 its reverse (110001201220101), we get a palindrome (211023303320112).

The spelling of 101022102100011 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred thousand, eleven".