10213100000 has 288 divisors, whose sum is σ = 26789035392. Its totient is φ = 3827200000.

The previous prime is 10213099999. The next prime is 10213100011. The reversal of 10213100000 is 131201.

It is a super-2 number, since 2×10213100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 192699974 + ... + 192700026.

It is an arithmetic number, because the mean of its divisors is an integer number (93017484).

Almost surely, 2^10213100000 is an apocalyptic number.

10213100000 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 10213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394517696).

10213100000 is an abundant number, since it is smaller than the sum of its proper divisors (16575935392).

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

10213100000 is an frugal number, since it uses more digits than its factorization.

10213100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10213100000 its reverse (131201), we get a palindrome (10213231201).

The spelling of 10213100000 in words is "ten billion, two hundred thirteen million, one hundred thousand".