10201022100011 has 8 divisors (see below), whose sum is σ = 10553542240800. Its totient is φ = 9848552676480.

The previous prime is 10201022100001. The next prime is 10201022100053. The reversal of 10201022100011 is 11000122010201.

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

It is a cyclic number.

It is not a de Polignac number, because 10201022100011 - 2³⁸ = 9926144193067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201022099965 and 10201022100001.

It is not an unprimeable number, because it can be changed into a prime (10201022100001) 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, 12269870 + ... + 13074851.

It is an arithmetic number, because the mean of its divisors is an integer number (1319192780100).

Almost surely, 2^{10201022100011} is an apocalyptic number.

10201022100011 is a deficient number, since it is larger than the sum of its proper divisors (352520140789).

10201022100011 is a wasteful number, since it uses less digits than its factorization.

10201022100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25358629.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201022100011 its reverse (11000122010201), we get a palindrome (21201144110212).

The spelling of 10201022100011 in words is "ten trillion, two hundred one billion, twenty-two million, one hundred thousand, eleven".