10100101211021 has 4 divisors (see below), whose sum is σ = 10271289367200. Its totient is φ = 9928913054844.

The previous prime is 10100101210993. The next prime is 10100101211063. The reversal of 10100101211021 is 12011210100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100101211021 - 2¹⁰ = 10100101209997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101210993 and 10100101211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101211071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85594078001 + ... + 85594078118.

It is an arithmetic number, because the mean of its divisors is an integer number (2567822341800).

Almost surely, 2^{10100101211021} is an apocalyptic number.

It is an amenable number.

10100101211021 is a deficient number, since it is larger than the sum of its proper divisors (171188156179).

10100101211021 is an equidigital number, since it uses as much as digits as its factorization.

10100101211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171188156178.

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

Adding to 10100101211021 its reverse (12011210100101), we get a palindrome (22111311311122).

The spelling of 10100101211021 in words is "ten trillion, one hundred billion, one hundred one million, two hundred eleven thousand, twenty-one".