210022010100 has 216 divisors, whose sum is σ = 753236789760. Its totient is φ = 47948163840.

The previous prime is 210022010087. The next prime is 210022010119. The reversal of 210022010100 is 1010220012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5417586 + ... + 5456214.

It is an arithmetic number, because the mean of its divisors is an integer number (3487207360).

Almost surely, 2^210022010100 is an apocalyptic number.

210022010100 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 210022010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376618394880).

210022010100 is an abundant number, since it is smaller than the sum of its proper divisors (543214779660).

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

210022010100 is a wasteful number, since it uses less digits than its factorization.

210022010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39519 (or 39509 counting only the distinct ones).

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

Adding to 210022010100 its reverse (1010220012), we get a palindrome (211032230112).

The spelling of 210022010100 in words is "two hundred ten billion, twenty-two million, ten thousand, one hundred".