1010506055100 has 288 divisors, whose sum is σ = 2996248602816. Its totient is φ = 262882713600.

The previous prime is 1010506055071. The next prime is 1010506055129. The reversal of 1010506055100 is 15506050101.

It is an interprime number because it is at equal distance from previous prime (1010506055071) and next prime (1010506055129).

It is a super-2 number, since 2×1010506055100² (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 95 ways as a sum of consecutive naturals, for example, 952408570 + ... + 952409630.

It is an arithmetic number, because the mean of its divisors is an integer number (10403640982).

Almost surely, 2^{1010506055100} is an apocalyptic number.

1010506055100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010506055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498124301408).

1010506055100 is an abundant number, since it is smaller than the sum of its proper divisors (1985742547716).

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

1010506055100 is a wasteful number, since it uses less digits than its factorization.

1010506055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1010506055100 in words is "one trillion, ten billion, five hundred six million, fifty-five thousand, one hundred".