10021001201101 has 32 divisors (see below), whose sum is σ = 11066562662400. Its totient is φ = 8998257185280.

The previous prime is 10021001201089. The next prime is 10021001201129. The reversal of 10021001201101 is 10110210012001.

10021001201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021001201101 - 2⁵ = 10021001201069 is a prime.

It is a super-2 number, since 2×10021001201101² (a number of 27 digits) 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 (10021001201171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343474110 + ... + 1343481568.

It is an arithmetic number, because the mean of its divisors is an integer number (345830083200).

Almost surely, 2^{10021001201101} is an apocalyptic number.

10021001201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021001201101 is a deficient number, since it is larger than the sum of its proper divisors (1045561461299).

10021001201101 is a wasteful number, since it uses less digits than its factorization.

10021001201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889.

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

Adding to 10021001201101 its reverse (10110210012001), we get a palindrome (20131211213102).

The spelling of 10021001201101 in words is "ten trillion, twenty-one billion, one million, two hundred one thousand, one hundred one".