100020001002210 has 96 divisors (see below), whose sum is σ = 267123546930240. Its totient is φ = 25946946393984.

The previous prime is 100020001002209. The next prime is 100020001002211. The reversal of 100020001002210 is 12200100020001.

It is an interprime number because it is at equal distance from previous prime (100020001002209) and next prime (100020001002211).

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 = 100020001002192 and 100020001002201.

It is not an unprimeable number, because it can be changed into a prime (100020001002211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18234901 + ... + 23077079.

It is an arithmetic number, because the mean of its divisors is an integer number (2782536947190).

Almost surely, 2^{100020001002210} is an apocalyptic number.

100020001002210 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 100020001002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133561773465120).

100020001002210 is an abundant number, since it is smaller than the sum of its proper divisors (167103545928030).

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

100020001002210 is a wasteful number, since it uses less digits than its factorization.

100020001002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848432 (or 4848429 counting only the distinct ones).

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

Adding to 100020001002210 its reverse (12200100020001), we get a palindrome (112220101022211).

The spelling of 100020001002210 in words is "one hundred trillion, twenty billion, one million, two thousand, two hundred ten".