10101012111221 has 8 divisors (see below), whose sum is σ = 10695253232664. Its totient is φ = 9506778094080.

The previous prime is 10101012111199. The next prime is 10101012111317. The reversal of 10101012111221 is 12211121010101.

It can be written as a sum of positive squares in 4 ways, for example, as 1317559622500 + 8783452488721 = 1147850^2 + 2963689^2 .

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 10101012111221 - 2¹⁴ = 10101012094837 is a prime.

It is a super-2 number, since 2×10101012111221² (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 = 10101012111196 and 10101012111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101012111821) 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, 1303811 + ... + 4679951.

It is an arithmetic number, because the mean of its divisors is an integer number (1336906654083).

Almost surely, 2^{10101012111221} is an apocalyptic number.

It is an amenable number.

10101012111221 is a deficient number, since it is larger than the sum of its proper divisors (594241121443).

10101012111221 is a wasteful number, since it uses less digits than its factorization.

10101012111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552151.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10101012111221 its reverse (12211121010101), we get a palindrome (22312133121322).

The spelling of 10101012111221 in words is "ten trillion, one hundred one billion, twelve million, one hundred eleven thousand, two hundred twenty-one".