10211820900 has 144 divisors (see below), whose sum is σ = 30206275008. Its totient is φ = 2662848000.

The previous prime is 10211820869. The next prime is 10211820911. The reversal of 10211820900 is 902811201.

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, 3310759 + ... + 3313841.

Almost surely, 2^10211820900 is an apocalyptic number.

10211820900 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 10211820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103137504).

10211820900 is an abundant number, since it is smaller than the sum of its proper divisors (19994454108).

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

10211820900 is a wasteful number, since it uses less digits than its factorization.

10211820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 10211820900 in words is "ten billion, two hundred eleven million, eight hundred twenty thousand, nine hundred".