10022012101 has 8 divisors (see below), whose sum is σ = 10233465624. Its totient is φ = 9812563200.

The previous prime is 10022012069. The next prime is 10022012113. The reversal of 10022012101 is 10121022001.

10022012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 100110²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 5689081476 + 4332930625 = 75426^2 + 65825^2 .

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 10022012101 - 2⁵ = 10022012069 is a prime.

It is a super-3 number, since 3×10022012101³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022012191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491050 + ... + 511051.

It is an arithmetic number, because the mean of its divisors is an integer number (1279183203).

Almost surely, 2^10022012101 is an apocalyptic number.

It is an amenable number.

10022012101 is a deficient number, since it is larger than the sum of its proper divisors (211453523).

10022012101 is a wasteful number, since it uses less digits than its factorization.

10022012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002311.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022012101 its reverse (10121022001), we get a palindrome (20143034102).

The spelling of 10022012101 in words is "ten billion, twenty-two million, twelve thousand, one hundred one".