101434155435252 has 72 divisors (see below), whose sum is σ = 265901731070976. Its totient is φ = 33811090201728.

The previous prime is 101434155435247. The next prime is 101434155435257. The reversal of 101434155435252 is 252534551434101.

101434155435252 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 4 + 1 + 5 + 543 + 52 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (101434155435247) and next prime (101434155435257).

It is a junction number, because it is equal to n+sod(n) for n = 101434155435198 and 101434155435207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434155435257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130358733 + ... + 131134539.

It is an arithmetic number, because the mean of its divisors is an integer number (3693079598208).

Almost surely, 2^{101434155435252} is an apocalyptic number.

101434155435252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101434155435252 is an abundant number, since it is smaller than the sum of its proper divisors (164467575635724).

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

101434155435252 is a wasteful number, since it uses less digits than its factorization.

101434155435252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910339 (or 910325 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 101434155435252 in words is "one hundred one trillion, four hundred thirty-four billion, one hundred fifty-five million, four hundred thirty-five thousand, two hundred fifty-two".