10105055550100 has 36 divisors (see below), whose sum is σ = 25060537765984. Its totient is φ = 3464590474080.

The previous prime is 10105055550067. The next prime is 10105055550101. The reversal of 10105055550100 is 105555050101.

It is a super-2 number, since 2×10105055550100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105055550101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7217896122 + ... + 7217897521.

Almost surely, 2^{10105055550100} is an apocalyptic number.

10105055550100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105055550100 is an abundant number, since it is smaller than the sum of its proper divisors (14955482215884).

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

10105055550100 is a wasteful number, since it uses less digits than its factorization.

10105055550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435793664 (or 14435793657 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 10105055550100 in words is "ten trillion, one hundred five billion, fifty-five million, five hundred fifty thousand, one hundred".