105101220722013 has 64 divisors (see below), whose sum is σ = 164261053440000. Its totient is φ = 66319466834880.

The previous prime is 105101220721979. The next prime is 105101220722033. The reversal of 105101220722013 is 310227022101501.

It is a happy number.

105101220722013 is a `hidden beast` number, since 1 + 0 + 510 + 122 + 0 + 7 + 2 + 20 + 1 + 3 = 666.

It is not a de Polignac number, because 105101220722013 - 2⁹ = 105101220721501 is a prime.

It is a super-2 number, since 2×105101220722013² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101220722033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13416108 + ... + 19753338.

It is an arithmetic number, because the mean of its divisors is an integer number (2566578960000).

Almost surely, 2^{105101220722013} is an apocalyptic number.

It is an amenable number.

105101220722013 is a deficient number, since it is larger than the sum of its proper divisors (59159832717987).

105101220722013 is a wasteful number, since it uses less digits than its factorization.

105101220722013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337687 (or 6337681 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 105101220722013 its reverse (310227022101501), we get a palindrome (415328242823514).

The spelling of 105101220722013 in words is "one hundred five trillion, one hundred one billion, two hundred twenty million, seven hundred twenty-two thousand, thirteen".