10201100201021 has 8 divisors (see below), whose sum is σ = 10226686253688. Its totient is φ = 10175514880000.

The previous prime is 10201100201009. The next prime is 10201100201041. The reversal of 10201100201021 is 12010200110201.

It can be written as a sum of positive squares in 4 ways, for example, as 7488902935396 + 2712197265625 = 2736586^2 + 1646875^2 .

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 10201100201021 - 2⁶ = 10201100200957 is a prime.

It is a super-2 number, since 2×10201100201021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201100200993 and 10201100201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201100201041) 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, 37390061 + ... + 37661901.

It is an arithmetic number, because the mean of its divisors is an integer number (1278335781711).

Almost surely, 2^{10201100201021} is an apocalyptic number.

It is an amenable number.

10201100201021 is a deficient number, since it is larger than the sum of its proper divisors (25586052667).

10201100201021 is an equidigital number, since it uses as much as digits as its factorization.

10201100201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365823.

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

Adding to 10201100201021 its reverse (12010200110201), we get a palindrome (22211300311222).

The spelling of 10201100201021 in words is "ten trillion, two hundred one billion, one hundred million, two hundred one thousand, twenty-one".