10402030124100 has 162 divisors, whose sum is σ = 33509610868734. Its totient is φ = 2698904793600.

The previous prime is 10402030124077. The next prime is 10402030124111. The reversal of 10402030124100 is 142103020401.

10402030124100 is a `hidden beast` number, since 1 + 0 + 40 + 203 + 0 + 12 + 410 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 386058424896 + 10015971699204 = 621336^2 + 3164802^2 .

It is a super-2 number, since 2×10402030124100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2989161 + ... + 5453360.

It is an arithmetic number, because the mean of its divisors is an integer number (206849449807).

Almost surely, 2^{10402030124100} is an apocalyptic number.

10402030124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402030124100 is an abundant number, since it is smaller than the sum of its proper divisors (23107580744634).

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

10402030124100 is a wasteful number, since it uses less digits than its factorization.

10402030124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442615 (or 8442568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10402030124100 its reverse (142103020401), we get a palindrome (10544133144501).

The spelling of 10402030124100 in words is "ten trillion, four hundred two billion, thirty million, one hundred twenty-four thousand, one hundred".