101234000352 has 24 divisors (see below), whose sum is σ = 265739251176. Its totient is φ = 33744666752.

The previous prime is 101234000327. The next prime is 101234000359. The reversal of 101234000352 is 253000432101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×101234000352² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101234000359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527260323 + ... + 527260514.

It is an arithmetic number, because the mean of its divisors is an integer number (11072468799).

Almost surely, 2^101234000352 is an apocalyptic number.

101234000352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101234000352 is an abundant number, since it is smaller than the sum of its proper divisors (164505250824).

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

101234000352 is a wasteful number, since it uses less digits than its factorization.

101234000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054520850 (or 1054520842 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 101234000352 its reverse (253000432101), we get a palindrome (354234432453).

The spelling of 101234000352 in words is "one hundred one billion, two hundred thirty-four million, three hundred fifty-two", and thus it is an aban number.