10302101110100 has 144 divisors (see below), whose sum is σ = 23588242339200. Its totient is φ = 3894661854720.

The previous prime is 10302101110079. The next prime is 10302101110109. The reversal of 10302101110100 is 101110120301.

It is a happy number.

It is a super-2 number, since 2×10302101110100² (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 (10302101110109) by changing a digit.

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, 2151198506 + ... + 2151203294.

Almost surely, 2^{10302101110100} is an apocalyptic number.

10302101110100 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 10302101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11794121169600).

10302101110100 is an abundant number, since it is smaller than the sum of its proper divisors (13286141229100).

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

10302101110100 is a wasteful number, since it uses less digits than its factorization.

10302101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10302101110100 its reverse (101110120301), we get a palindrome (10403211230401).

The spelling of 10302101110100 in words is "ten trillion, three hundred two billion, one hundred one million, one hundred ten thousand, one hundred".