101025405205 has 8 divisors (see below), whose sum is σ = 121301934552. Its totient is φ = 80772691968.

The previous prime is 101025405199. The next prime is 101025405211. The reversal of 101025405205 is 502504520101.

It is an interprime number because it is at equal distance from previous prime (101025405199) and next prime (101025405211).

It can be written as a sum of positive squares in 4 ways, for example, as 54549806481 + 46475598724 = 233559^2 + 215582^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101025405205 is a prime.

It is a super-2 number, since 2×101025405205² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101025405205.

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, 5944692 + ... + 5961661.

It is an arithmetic number, because the mean of its divisors is an integer number (15162741819).

Almost surely, 2^101025405205 is an apocalyptic number.

It is an amenable number.

101025405205 is a deficient number, since it is larger than the sum of its proper divisors (20276529347).

101025405205 is a wasteful number, since it uses less digits than its factorization.

101025405205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11908055.

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 101025405205 its reverse (502504520101), we get a palindrome (603529925306).

The spelling of 101025405205 in words is "one hundred one billion, twenty-five million, four hundred five thousand, two hundred five".