10212310220100 has 144 divisors (see below), whose sum is σ = 29644435968000. Its totient is φ = 2714374062720.

The previous prime is 10212310220093. The next prime is 10212310220209. The reversal of 10212310220100 is 102201321201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212310220100.

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, 112674601 + ... + 112765199.

Almost surely, 2^{10212310220100} is an apocalyptic number.

10212310220100 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 10212310220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822217984000).

10212310220100 is an abundant number, since it is smaller than the sum of its proper divisors (19432125747900).

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

10212310220100 is a wasteful number, since it uses less digits than its factorization.

10212310220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91842 (or 91835 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10212310220100 its reverse (102201321201), we get a palindrome (10314511541301).

The spelling of 10212310220100 in words is "ten trillion, two hundred twelve billion, three hundred ten million, two hundred twenty thousand, one hundred".