101542122252 has 36 divisors (see below), whose sum is σ = 256703712720. Its totient is φ = 33843709152.

The previous prime is 101542122251. The next prime is 101542122299. The reversal of 101542122252 is 252221245101.

101542122252 is a `hidden beast` number, since 1 + 0 + 15 + 421 + 2 + 225 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101542122252² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101542122251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 195249 + ... + 491127.

Almost surely, 2^101542122252 is an apocalyptic number.

101542122252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101542122252 is an abundant number, since it is smaller than the sum of its proper divisors (155161590468).

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

101542122252 is a wasteful number, since it uses less digits than its factorization.

101542122252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305422 (or 305417 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 101542122252 its reverse (252221245101), we get a palindrome (353763367353).

The spelling of 101542122252 in words is "one hundred one billion, five hundred forty-two million, one hundred twenty-two thousand, two hundred fifty-two".