10010109798072 has 128 divisors (see below), whose sum is σ = 28559870337600. Its totient is φ = 3246237886464.

The previous prime is 10010109798043. The next prime is 10010109798077. The reversal of 10010109798072 is 27089790101001.

It is a happy number.

It is a super-2 number, since 2×10010109798072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010109798077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103472028 + ... + 103568724.

Almost surely, 2^{10010109798072} is an apocalyptic number.

10010109798072 is a gapful number since it is divisible by the number (12) 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 10010109798072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279935168800).

10010109798072 is an abundant number, since it is smaller than the sum of its proper divisors (18549760539528).

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

10010109798072 is a wasteful number, since it uses less digits than its factorization.

10010109798072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109702 (or 109692 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

Adding to 10010109798072 its reverse (27089790101001), we get a palindrome (37099899899073).

The spelling of 10010109798072 in words is "ten trillion, ten billion, one hundred nine million, seven hundred ninety-eight thousand, seventy-two".