10111100201021 has 8 divisors (see below), whose sum is σ = 10113384192120. Its totient is φ = 10108816478208.

The previous prime is 10111100200961. The next prime is 10111100201029. The reversal of 10111100201021 is 12010200111101.

It can be written as a sum of positive squares in 4 ways, for example, as 572422375396 + 9538677825625 = 756586^2 + 3088475^2 .

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 10111100201021 - 2³⁴ = 10093920331837 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10111100200993 and 10111100201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100201029) 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, 87821525 + ... + 87936581.

It is an arithmetic number, because the mean of its divisors is an integer number (1264173024015).

Almost surely, 2^{10111100201021} is an apocalyptic number.

It is an amenable number.

10111100201021 is a deficient number, since it is larger than the sum of its proper divisors (2283991099).

10111100201021 is a wasteful number, since it uses less digits than its factorization.

10111100201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134143.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10111100201021 its reverse (12010200111101), we get a palindrome (22121300312122).

The spelling of 10111100201021 in words is "ten trillion, one hundred eleven billion, one hundred million, two hundred one thousand, twenty-one".