101211221121985 has 16 divisors (see below), whose sum is σ = 130860503076240. Its totient is φ = 74703757789440.

The previous prime is 101211221121971. The next prime is 101211221122057. The reversal of 101211221121985 is 589121122112101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 937273760641 + 100273947361344 = 968129^2 + 10013688^2 .

It is not a de Polignac number, because 101211221121985 - 2⁵ = 101211221121953 is a prime.

It is a super-2 number, since 2×101211221121985² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383578246 + ... + 383842015.

It is an arithmetic number, because the mean of its divisors is an integer number (8178781442265).

Almost surely, 2^{101211221121985} is an apocalyptic number.

It is an amenable number.

101211221121985 is a deficient number, since it is larger than the sum of its proper divisors (29649281954255).

101211221121985 is a wasteful number, since it uses less digits than its factorization.

101211221121985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767422308.

The product of its (nonzero) digits is 5760, while the sum is 37.

The spelling of 101211221121985 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, nine hundred eighty-five".