211121210101013 has 8 divisors (see below), whose sum is σ = 213313856851032. Its totient is φ = 208928892727296.

The previous prime is 211121210100971. The next prime is 211121210101069. The reversal of 211121210101013 is 310101012121112.

It can be written as a sum of positive squares in 4 ways, for example, as 14400332479729 + 196720877621284 = 3794777^2 + 14025722^2 .

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 211121210101013 - 2³² = 211116915133717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211121210100982 and 211121210101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121210101213) 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, 81055370 + ... + 83619467.

It is an arithmetic number, because the mean of its divisors is an integer number (26664232106379).

Almost surely, 2^{211121210101013} is an apocalyptic number.

It is an amenable number.

211121210101013 is a deficient number, since it is larger than the sum of its proper divisors (2192646750019).

211121210101013 is a wasteful number, since it uses less digits than its factorization.

211121210101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164688151.

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

Adding to 211121210101013 its reverse (310101012121112), we get a palindrome (521222222222125).

The spelling of 211121210101013 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, thirteen".