101029206144 has 64 divisors (see below), whose sum is σ = 272035052640. Its totient is φ = 33215072256.

The previous prime is 101029206121. The next prime is 101029206233. The reversal of 101029206144 is 441602920101.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1774002 + ... + 1830065.

Almost surely, 2^101029206144 is an apocalyptic number.

It is an amenable number.

101029206144 is an abundant number, since it is smaller than the sum of its proper divisors (171005846496).

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

101029206144 is an equidigital number, since it uses as much as digits as its factorization.

101029206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604157 (or 3604145 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 101029206144 in words is "one hundred one billion, twenty-nine million, two hundred six thousand, one hundred forty-four".