101501133200205 has 32 divisors (see below), whose sum is σ = 171849561016320. Its totient is φ = 51050988394560.

The previous prime is 101501133200197. The next prime is 101501133200237. The reversal of 101501133200205 is 502002331105101.

It is not a de Polignac number, because 101501133200205 - 2³ = 101501133200197 is a prime.

It is a super-2 number, since 2×101501133200205² (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, 2071850035 + ... + 2071899024.

It is an arithmetic number, because the mean of its divisors is an integer number (5370298781760).

Almost surely, 2^{101501133200205} is an apocalyptic number.

101501133200205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101501133200205 is a deficient number, since it is larger than the sum of its proper divisors (70348427816115).

101501133200205 is a wasteful number, since it uses less digits than its factorization.

101501133200205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143749161.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101501133200205 its reverse (502002331105101), we get a palindrome (603503464305306).

The spelling of 101501133200205 in words is "one hundred one trillion, five hundred one billion, one hundred thirty-three million, two hundred thousand, two hundred five".