101145425252000 has 48 divisors (see below), whose sum is σ = 248514309853992. Its totient is φ = 40458170099200.

The previous prime is 101145425251973. The next prime is 101145425252141. The reversal of 101145425252000 is 252524541101.

It can be written as a sum of positive squares in 4 ways, for example, as 43689085891984 + 57456339360016 = 6609772^2 + 7579996^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12643174157 + ... + 12643182156.

Almost surely, 2^{101145425252000} is an apocalyptic number.

101145425252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101145425252000 is an abundant number, since it is smaller than the sum of its proper divisors (147368884601992).

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

101145425252000 is an equidigital number, since it uses as much as digits as its factorization.

101145425252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25286356338 (or 25286356320 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 101145425252000 its reverse (252524541101), we get a palindrome (101397949793101).

The spelling of 101145425252000 in words is "one hundred one trillion, one hundred forty-five billion, four hundred twenty-five million, two hundred fifty-two thousand".