30121431440100 has 288 divisors, whose sum is σ = 117014389933056. Its totient is φ = 5777537241600.

The previous prime is 30121431440011. The next prime is 30121431440117. The reversal of 30121431440100 is 104413412103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49851934 + ... + 50452533.

Almost surely, 2^{30121431440100} is an apocalyptic number.

30121431440100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30121431440100 is an abundant number, since it is smaller than the sum of its proper divisors (86892958492956).

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

30121431440100 is a wasteful number, since it uses less digits than its factorization.

30121431440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100304515 (or 100304508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30121431440100 its reverse (104413412103), we get a palindrome (30225844852203).

The spelling of 30121431440100 in words is "thirty trillion, one hundred twenty-one billion, four hundred thirty-one million, four hundred forty thousand, one hundred".