10100022101021 has 4 divisors (see below), whose sum is σ = 10100132728572. Its totient is φ = 10099911473472.

The previous prime is 10100022100979. The next prime is 10100022101047. The reversal of 10100022101021 is 12010122000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6023519769796 + 4076502331225 = 2454286^2 + 2019035^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100022101021 - 2¹⁴ = 10100022084637 is a prime.

It is a super-2 number, since 2×10100022101021² (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 = 10100022100993 and 10100022101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022101321) 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, 55176716 + ... + 55359461.

It is an arithmetic number, because the mean of its divisors is an integer number (2525033182143).

Almost surely, 2^{10100022101021} is an apocalyptic number.

It is an amenable number.

10100022101021 is a deficient number, since it is larger than the sum of its proper divisors (110627551).

10100022101021 is an equidigital number, since it uses as much as digits as its factorization.

10100022101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110627550.

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

Adding to 10100022101021 its reverse (12010122000101), we get a palindrome (22110144101122).

The spelling of 10100022101021 in words is "ten trillion, one hundred billion, twenty-two million, one hundred one thousand, twenty-one".