10100112020010 has 96 divisors (see below), whose sum is σ = 26904457459152. Its totient is φ = 2627312808960.

The previous prime is 10100112019957. The next prime is 10100112020029. The reversal of 10100112020010 is 1002021100101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3188570921649 + 6911541098361 = 1785657^2 + 2628981^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100112019974 and 10100112020001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27407092 + ... + 27773168.

Almost surely, 2^{10100112020010} is an apocalyptic number.

10100112020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100112020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452228729576).

10100112020010 is an abundant number, since it is smaller than the sum of its proper divisors (16804345439142).

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

10100112020010 is a wasteful number, since it uses less digits than its factorization.

10100112020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373608 (or 373605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100112020010 its reverse (1002021100101), we get a palindrome (11102133120111).

The spelling of 10100112020010 in words is "ten trillion, one hundred billion, one hundred twelve million, twenty thousand, ten".