10211200100021 has 8 divisors (see below), whose sum is σ = 10811938062744. Its totient is φ = 9610470929920.

The previous prime is 10211200099993. The next prime is 10211200100063. The reversal of 10211200100021 is 12000100211201.

It can be written as a sum of positive squares in 4 ways, for example, as 780066969796 + 9431133130225 = 883214^2 + 3071015^2 .

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 10211200100021 - 2⁶ = 10211200099957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211200099975 and 10211200100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211209100021) 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, 272171 + ... + 4527303.

It is an arithmetic number, because the mean of its divisors is an integer number (1351492257843).

Almost surely, 2^{10211200100021} is an apocalyptic number.

It is an amenable number.

10211200100021 is a deficient number, since it is larger than the sum of its proper divisors (600737962723).

10211200100021 is a wasteful number, since it uses less digits than its factorization.

10211200100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396311.

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

Adding to 10211200100021 its reverse (12000100211201), we get a palindrome (22211300311222).

The spelling of 10211200100021 in words is "ten trillion, two hundred eleven billion, two hundred million, one hundred thousand, twenty-one".