210022012212100 has 144 divisors (see below), whose sum is σ = 506694209495040. Its totient is φ = 74910832588800.

The previous prime is 210022012212091. The next prime is 210022012212169. The reversal of 210022012212100 is 1212210220012.

It is a happy number.

It is a super-2 number, since 2×210022012212100² (a number of 29 digits) contains 22 as substring.

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, 220657021 + ... + 221606779.

It is an arithmetic number, because the mean of its divisors is an integer number (3518709788160).

Almost surely, 2^{210022012212100} is an apocalyptic number.

210022012212100 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 210022012212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253347104747520).

210022012212100 is an abundant number, since it is smaller than the sum of its proper divisors (296672197282940).

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

210022012212100 is a wasteful number, since it uses less digits than its factorization.

210022012212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953630 (or 953623 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210022012212100 its reverse (1212210220012), we get a palindrome (211234222432112).

The spelling of 210022012212100 in words is "two hundred ten trillion, twenty-two billion, twelve million, two hundred twelve thousand, one hundred".