10211210121113 has 8 divisors (see below), whose sum is σ = 11075573675880. Its totient is φ = 9376147025920.

The previous prime is 10211210121083. The next prime is 10211210121121. The reversal of 10211210121113 is 31112101211201.

It can be written as a sum of positive squares in 4 ways, for example, as 3358814947849 + 6852395173264 = 1832707^2 + 2617708^2 .

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 10211210121113 - 2³⁴ = 10194030251929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211210121091 and 10211210121100.

It is not an unprimeable number, because it can be changed into a prime (10211210121163) 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, 7325114168 + ... + 7325115561.

It is an arithmetic number, because the mean of its divisors is an integer number (1384446709485).

Almost surely, 2^{10211210121113} is an apocalyptic number.

It is an amenable number.

10211210121113 is a deficient number, since it is larger than the sum of its proper divisors (864363554767).

10211210121113 is a wasteful number, since it uses less digits than its factorization.

10211210121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14650229787.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10211210121113 its reverse (31112101211201), we get a palindrome (41323311332314).

The spelling of 10211210121113 in words is "ten trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, one hundred thirteen".