10501005106100 has 36 divisors (see below), whose sum is σ = 22787327353644. Its totient is φ = 4200375079680.

The previous prime is 10501005106027. The next prime is 10501005106129. The reversal of 10501005106100 is 160150010501.

It can be written as a sum of positive squares in 6 ways, for example, as 1892390912164 + 8608614193936 = 1375642^2 + 2934044^2 .

It is a super-2 number, since 2×10501005106100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24224462 + ... + 24654138.

It is an arithmetic number, because the mean of its divisors is an integer number (632981315379).

Almost surely, 2^{10501005106100} is an apocalyptic number.

10501005106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501005106100 is an abundant number, since it is smaller than the sum of its proper divisors (12286322247544).

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

10501005106100 is a wasteful number, since it uses less digits than its factorization.

10501005106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674084 (or 674077 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10501005106100 its reverse (160150010501), we get a palindrome (10661155116601).

The spelling of 10501005106100 in words is "ten trillion, five hundred one billion, five million, one hundred six thousand, one hundred".