10214104000100 has 288 divisors, whose sum is σ = 29766324000000. Its totient is φ = 2938046515200.

The previous prime is 10214104000057. The next prime is 10214104000103. The reversal of 10214104000100 is 100040141201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10214104000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575466026 + ... + 575483774.

Almost surely, 2^{10214104000100} is an apocalyptic number.

10214104000100 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 10214104000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883162000000).

10214104000100 is an abundant number, since it is smaller than the sum of its proper divisors (19552219999900).

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

10214104000100 is a wasteful number, since it uses less digits than its factorization.

10214104000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23543 (or 23536 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10214104000100 its reverse (100040141201), we get a palindrome (10314144141301).

The spelling of 10214104000100 in words is "ten trillion, two hundred fourteen billion, one hundred four million, one hundred", and thus it is an aban number.