101120100012205 has 32 divisors (see below), whose sum is σ = 121666226572800. Its totient is φ = 80681711565312.

The previous prime is 101120100012199. The next prime is 101120100012223. The reversal of 101120100012205 is 502210001021101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101120100012205 is a prime.

It is a super-2 number, since 2×101120100012205² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10607369619 + ... + 10607379151.

It is an arithmetic number, because the mean of its divisors is an integer number (3802069580400).

Almost surely, 2^{101120100012205} is an apocalyptic number.

It is an amenable number.

101120100012205 is a deficient number, since it is larger than the sum of its proper divisors (20546126560595).

101120100012205 is a wasteful number, since it uses less digits than its factorization.

101120100012205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 101120100012205 its reverse (502210001021101), we get a palindrome (603330101033306).

The spelling of 101120100012205 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, twelve thousand, two hundred five".