101012211111113 has 2 divisors, whose sum is σ = 101012211111114. Its totient is φ = 101012211111112.

The previous prime is 101012211111013. The next prime is 101012211111127. The reversal of 101012211111113 is 311111112210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100085358207289 + 926852903824 = 10004267^2 + 962732^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012211111113 - 2⁸ = 101012211110857 is a prime.

It is a super-2 number, since 2×101012211111113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012211111091 and 101012211111100.

It is not a weakly prime, because it can be changed into another prime (101012211111013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506105555556 + 50506105555557.

It is an arithmetic number, because the mean of its divisors is an integer number (50506105555557).

Almost surely, 2^{101012211111113} is an apocalyptic number.

It is an amenable number.

101012211111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012211111113 is an equidigital number, since it uses as much as digits as its factorization.

101012211111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 17.

Adding to 101012211111113 its reverse (311111112210101), we get a palindrome (412123323321214).

The spelling of 101012211111113 in words is "one hundred one trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred thirteen".