10100111012021 has 8 divisors (see below), whose sum is σ = 10265737128600. Its totient is φ = 9934486525440.

The previous prime is 10100111011981. The next prime is 10100111012083. The reversal of 10100111012021 is 12021011100101.

It can be written as a sum of positive squares in 4 ways, for example, as 53835600625 + 10046275411396 = 232025^2 + 3169586^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100111012021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100111011993 and 10100111012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111012221) 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, 23339465 + ... + 23768273.

It is an arithmetic number, because the mean of its divisors is an integer number (1283217141075).

Almost surely, 2^{10100111012021} is an apocalyptic number.

It is an amenable number.

10100111012021 is a deficient number, since it is larger than the sum of its proper divisors (165626116579).

10100111012021 is an equidigital number, since it uses as much as digits as its factorization.

10100111012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814999.

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

Adding to 10100111012021 its reverse (12021011100101), we get a palindrome (22121122112122).

The spelling of 10100111012021 in words is "ten trillion, one hundred billion, one hundred eleven million, twelve thousand, twenty-one".