101025553505 has 48 divisors (see below), whose sum is σ = 132469162560. Its totient is φ = 73750176000.

The previous prime is 101025553483. The next prime is 101025553553. The reversal of 101025553505 is 505355520101.

It is a de Polignac number, because none of the positive numbers 2^k-101025553505 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 13131710 + ... + 13139400.

It is an arithmetic number, because the mean of its divisors is an integer number (2759774220).

Almost surely, 2^101025553505 is an apocalyptic number.

It is an amenable number.

101025553505 is a deficient number, since it is larger than the sum of its proper divisors (31443609055).

101025553505 is a wasteful number, since it uses less digits than its factorization.

101025553505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 101025553505 in words is "one hundred one billion, twenty-five million, five hundred fifty-three thousand, five hundred five".