1010506110100 has 36 divisors (see below), whose sum is σ = 2209537205568. Its totient is φ = 401116924000.

The previous prime is 1010506110041. The next prime is 1010506110121. The reversal of 1010506110100 is 10116050101.

It is a super-2 number, since 2×1010506110100² (a number of 25 digits) contains 22 as substring.

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, 38555836 + ... + 38582035.

It is an arithmetic number, because the mean of its divisors is an integer number (61376033488).

Almost surely, 2^{1010506110100} is an apocalyptic number.

1010506110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010506110100 is an abundant number, since it is smaller than the sum of its proper divisors (1199031095468).

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

1010506110100 is a wasteful number, since it uses less digits than its factorization.

1010506110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77138016 (or 77138009 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 1010506110100 in words is "one trillion, ten billion, five hundred six million, one hundred ten thousand, one hundred".