120154242100 has 72 divisors (see below), whose sum is σ = 267006535488. Its totient is φ = 46907347200.

The previous prime is 120154242059. The next prime is 120154242121. The reversal of 120154242100 is 1242451021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5867880 + ... + 5888320.

It is an arithmetic number, because the mean of its divisors is an integer number (3708424104).

Almost surely, 2^120154242100 is an apocalyptic number.

120154242100 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 120154242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133503267744).

120154242100 is an abundant number, since it is smaller than the sum of its proper divisors (146852293388).

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

120154242100 is a wasteful number, since it uses less digits than its factorization.

120154242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21865 (or 21858 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 120154242100 its reverse (1242451021), we get a palindrome (121396693121).

The spelling of 120154242100 in words is "one hundred twenty billion, one hundred fifty-four million, two hundred forty-two thousand, one hundred".