10217948100 has 144 divisors (see below), whose sum is σ = 30322767552. Its totient is φ = 2655152640.

The previous prime is 10217948093. The next prime is 10217948183. The reversal of 10217948100 is 184971201.

It is a super-2 number, since 2×10217948100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8423094 + ... + 8424306.

Almost surely, 2^10217948100 is an apocalyptic number.

10217948100 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 10217948100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161383776).

10217948100 is an abundant number, since it is smaller than the sum of its proper divisors (20104819452).

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

10217948100 is a wasteful number, since it uses less digits than its factorization.

10217948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 10217948100 in words is "ten billion, two hundred seventeen million, nine hundred forty-eight thousand, one hundred".