153054221312100 has 144 divisors (see below), whose sum is σ = 453736757488896. Its totient is φ = 39810296448000.

The previous prime is 153054221312093. The next prime is 153054221312149. The reversal of 153054221312100 is 1213122450351.

It is a happy number.

It is a super-2 number, since 2×153054221312100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 55114102 + ... + 57824498.

It is an arithmetic number, because the mean of its divisors is an integer number (3150949704784).

Almost surely, 2^{153054221312100} is an apocalyptic number.

153054221312100 is a gapful number since it is divisible by the number (10) 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 153054221312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226868378744448).

153054221312100 is an abundant number, since it is smaller than the sum of its proper divisors (300682536176796).

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

153054221312100 is a wasteful number, since it uses less digits than its factorization.

153054221312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715046 (or 2715039 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 153054221312100 its reverse (1213122450351), we get a palindrome (154267343762451).

The spelling of 153054221312100 in words is "one hundred fifty-three trillion, fifty-four billion, two hundred twenty-one million, three hundred twelve thousand, one hundred".