101222161261 has 8 divisors (see below), whose sum is σ = 109018569240. Its totient is φ = 93427194432.

The previous prime is 101222161231. The next prime is 101222161283. The reversal of 101222161261 is 162161222101.

It can be written as a sum of positive squares in 4 ways, for example, as 31529329225 + 69692832036 = 177565^2 + 263994^2 .

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

It is not a de Polignac number, because 101222161261 - 2⁷ = 101222161133 is a prime.

It is a super-2 number, since 2×101222161261² (a number of 23 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 (101222161231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212146 + ... + 497443.

It is an arithmetic number, because the mean of its divisors is an integer number (13627321155).

Almost surely, 2^101222161261 is an apocalyptic number.

It is an amenable number.

101222161261 is a deficient number, since it is larger than the sum of its proper divisors (7796407979).

101222161261 is a wasteful number, since it uses less digits than its factorization.

101222161261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720575.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 101222161261 its reverse (162161222101), we get a palindrome (263383383362).

The spelling of 101222161261 in words is "one hundred one billion, two hundred twenty-two million, one hundred sixty-one thousand, two hundred sixty-one".