10012112220101 has 8 divisors (see below), whose sum is σ = 10966613791320. Its totient is φ = 9098227737088.

The previous prime is 10012112220083. The next prime is 10012112220113. The reversal of 10012112220101 is 10102221121001.

It can be written as a sum of positive squares in 4 ways, for example, as 6274749453025 + 3737362767076 = 2504945^2 + 1933226^2 .

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 10012112220101 - 2¹⁰ = 10012112219077 is a prime.

It is a super-2 number, since 2×10012112220101² (a number of 27 digits) contains 22 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 (10012112220151) 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, 10154271536 + ... + 10154272521.

It is an arithmetic number, because the mean of its divisors is an integer number (1370826723915).

Almost surely, 2^{10012112220101} is an apocalyptic number.

It is an amenable number.

10012112220101 is a deficient number, since it is larger than the sum of its proper divisors (954501571219).

10012112220101 is a wasteful number, since it uses less digits than its factorization.

10012112220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20308544103.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012112220101 its reverse (10102221121001), we get a palindrome (20114333341102).

The spelling of 10012112220101 in words is "ten trillion, twelve billion, one hundred twelve million, two hundred twenty thousand, one hundred one".