101121813252 has 108 divisors (see below), whose sum is σ = 271741746276. Its totient is φ = 31700229120.

The previous prime is 101121813241. The next prime is 101121813263. The reversal of 101121813252 is 252318121101.

It is an interprime number because it is at equal distance from previous prime (101121813241) and next prime (101121813263).

It can be written as a sum of positive squares in 6 ways, for example, as 5496146496 + 95625666756 = 74136^2 + 309234^2 .

It is a super-2 number, since 2×101121813252² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17611102 + ... + 17616842.

Almost surely, 2^101121813252 is an apocalyptic number.

101121813252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121813252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135870873138).

101121813252 is an abundant number, since it is smaller than the sum of its proper divisors (170619933024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101121813252 is a wasteful number, since it uses less digits than its factorization.

101121813252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 101121813252 its reverse (252318121101), we get a palindrome (353439934353).

The spelling of 101121813252 in words is "one hundred one billion, one hundred twenty-one million, eight hundred thirteen thousand, two hundred fifty-two".