101114114514252 has 96 divisors (see below), whose sum is σ = 278395146731520. Its totient is φ = 27951841143360.

The previous prime is 101114114514239. The next prime is 101114114514263. The reversal of 101114114514252 is 252415411411101.

It is a super-2 number, since 2×101114114514252² (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 31 ways as a sum of consecutive naturals, for example, 8034693 + ... + 16333539.

It is an arithmetic number, because the mean of its divisors is an integer number (2899949445120).

Almost surely, 2^{101114114514252} is an apocalyptic number.

101114114514252 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 101114114514252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139197573365760).

101114114514252 is an abundant number, since it is smaller than the sum of its proper divisors (177281032217268).

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

101114114514252 is a wasteful number, since it uses less digits than its factorization.

101114114514252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303571 (or 8303569 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

Adding to 101114114514252 its reverse (252415411411101), we get a palindrome (353529525925353).

The spelling of 101114114514252 in words is "one hundred one trillion, one hundred fourteen billion, one hundred fourteen million, five hundred fourteen thousand, two hundred fifty-two".