10212010200 has 240 divisors, whose sum is σ = 40535106480. Its totient is φ = 2334147840.

The previous prime is 10212010153. The next prime is 10212010213. The reversal of 10212010200 is 201021201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68374 + ... + 158426.

It is an arithmetic number, because the mean of its divisors is an integer number (168896277).

Almost surely, 2^10212010200 is an apocalyptic number.

10212010200 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 10212010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267553240).

10212010200 is an abundant number, since it is smaller than the sum of its proper divisors (30323096280).

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

10212010200 is a wasteful number, since it uses less digits than its factorization.

10212010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90088 (or 90070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10212010200 its reverse (201021201), we get a palindrome (10413031401).

The spelling of 10212010200 in words is "ten billion, two hundred twelve million, ten thousand, two hundred".