101121210010205 has 64 divisors (see below), whose sum is σ = 152416075493376. Its totient is φ = 62567515584000.

The previous prime is 101121210010201. The next prime is 101121210010241. The reversal of 101121210010205 is 502010012121101.

It is not a de Polignac number, because 101121210010205 - 2² = 101121210010201 is a prime.

It is a super-2 number, since 2×101121210010205² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121210010201) 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, 46697840 + ... + 48815270.

It is an arithmetic number, because the mean of its divisors is an integer number (2381501179584).

Almost surely, 2^{101121210010205} is an apocalyptic number.

It is an amenable number.

101121210010205 is a deficient number, since it is larger than the sum of its proper divisors (51294865483171).

101121210010205 is a wasteful number, since it uses less digits than its factorization.

101121210010205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118378.

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

Adding to 101121210010205 its reverse (502010012121101), we get a palindrome (603131222131306).

The spelling of 101121210010205 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred ten million, ten thousand, two hundred five".