210100102221100 has 576 divisors, whose sum is σ = 605924618342400. Its totient is φ = 61370182656000.

The previous prime is 210100102221091. The next prime is 210100102221101. The reversal of 210100102221100 is 1122201001012.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (210100102221101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5096898490 + ... + 5096939710.

It is an arithmetic number, because the mean of its divisors is an integer number (1051952462400).

Almost surely, 2^{210100102221100} is an apocalyptic number.

210100102221100 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 210100102221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302962309171200).

210100102221100 is an abundant number, since it is smaller than the sum of its proper divisors (395824516121300).

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

210100102221100 is a wasteful number, since it uses less digits than its factorization.

210100102221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42034 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210100102221100 its reverse (1122201001012), we get a palindrome (211222303222112).

The spelling of 210100102221100 in words is "two hundred ten trillion, one hundred billion, one hundred two million, two hundred twenty-one thousand, one hundred".