10213541100 has 360 divisors, whose sum is σ = 38471336288. Its totient is φ = 2295475200.

The previous prime is 10213541083. The next prime is 10213541111. The reversal of 10213541100 is 114531201.

10213541100 is a `hidden beast` number, since 1 + 0 + 21 + 3 + 541 + 100 = 666.

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 119 ways as a sum of consecutive naturals, for example, 3457224 + ... + 3460176.

Almost surely, 2^10213541100 is an apocalyptic number.

10213541100 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 10213541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19235668144).

10213541100 is an abundant number, since it is smaller than the sum of its proper divisors (28257795188).

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

10213541100 is a wasteful number, since it uses less digits than its factorization.

10213541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10213541100 in words is "ten billion, two hundred thirteen million, five hundred forty-one thousand, one hundred".