101201112100205 has 8 divisors (see below), whose sum is σ = 130782975637272. Its totient is φ = 74733128935488.

The previous prime is 101201112100199. The next prime is 101201112100217. The reversal of 101201112100205 is 502001211102101.

It can be written as a sum of positive squares in 4 ways, for example, as 18591300168169 + 82609811932036 = 4311763^2 + 9088994^2 .

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 101201112100205 - 2⁸ = 101201112099949 is a prime.

It is a super-2 number, since 2×101201112100205² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778470093014 + ... + 778470093143.

It is an arithmetic number, because the mean of its divisors is an integer number (16347871954659).

Almost surely, 2^{101201112100205} is an apocalyptic number.

It is an amenable number.

101201112100205 is a deficient number, since it is larger than the sum of its proper divisors (29581863537067).

101201112100205 is a wasteful number, since it uses less digits than its factorization.

101201112100205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556940186175.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 101201112100205 its reverse (502001211102101), we get a palindrome (603202323202306).

The spelling of 101201112100205 in words is "one hundred one trillion, two hundred one billion, one hundred twelve million, one hundred thousand, two hundred five".