100210010002110 has 320 divisors, whose sum is σ = 279267393613824. Its totient is φ = 25756566105600.

The previous prime is 100210010002073. The next prime is 100210010002127. The reversal of 100210010002110 is 11200010012001.

It is a happy number.

It is a super-2 number, since 2×100210010002110² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100210010002092 and 100210010002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6460569255 + ... + 6460584765.

Almost surely, 2^{100210010002110} is an apocalyptic number.

100210010002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210010002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139633696806912).

100210010002110 is an abundant number, since it is smaller than the sum of its proper divisors (179057383611714).

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

100210010002110 is a wasteful number, since it uses less digits than its factorization.

100210010002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16581 (or 16572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210010002110 its reverse (11200010012001), we get a palindrome (111410020014111).

The spelling of 100210010002110 in words is "one hundred trillion, two hundred ten billion, ten million, two thousand, one hundred ten".