220210010021100 has 288 divisors, whose sum is σ = 698067240837120. Its totient is φ = 53153991072000.

The previous prime is 220210010021083. The next prime is 220210010021117. The reversal of 220210010021100 is 1120010012022.

220210010021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220210010021083) and next prime (220210010021117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711156909 + ... + 711466491.

It is an arithmetic number, because the mean of its divisors is an integer number (2423844586240).

Almost surely, 2^{220210010021100} is an apocalyptic number.

220210010021100 is a gapful number since it is divisible by the number (20) 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 220210010021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349033620418560).

220210010021100 is an abundant number, since it is smaller than the sum of its proper divisors (477857230816020).

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

220210010021100 is a wasteful number, since it uses less digits than its factorization.

220210010021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310541 (or 310534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220210010021100 its reverse (1120010012022), we get a palindrome (221330020033122).

The spelling of 220210010021100 in words is "two hundred twenty trillion, two hundred ten billion, ten million, twenty-one thousand, one hundred".