10410434120100 has 288 divisors, whose sum is σ = 36368552263680. Its totient is φ = 2248592048640.

The previous prime is 10410434120087. The next prime is 10410434120123. The reversal of 10410434120100 is 102143401401.

It is a super-2 number, since 2×10410434120100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1043757 + ... + 4680843.

It is an arithmetic number, because the mean of its divisors is an integer number (126279695360).

Almost surely, 2^{10410434120100} is an apocalyptic number.

10410434120100 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 10410434120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184276131840).

10410434120100 is an abundant number, since it is smaller than the sum of its proper divisors (25958118143580).

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

10410434120100 is a wasteful number, since it uses less digits than its factorization.

10410434120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637187 (or 3637180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10410434120100 its reverse (102143401401), we get a palindrome (10512577521501).

The spelling of 10410434120100 in words is "ten trillion, four hundred ten billion, four hundred thirty-four million, one hundred twenty thousand, one hundred".