100021110021210 has 384 divisors, whose sum is σ = 305820981333504. Its totient is φ = 20788506869760.

The previous prime is 100021110021197. The next prime is 100021110021223. The reversal of 100021110021210 is 12120011120001.

It is an interprime number because it is at equal distance from previous prime (100021110021197) and next prime (100021110021223).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105058884 + ... + 106006656.

It is an arithmetic number, because the mean of its divisors is an integer number (796408805556).

Almost surely, 2^{100021110021210} is an apocalyptic number.

100021110021210 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 100021110021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152910490666752).

100021110021210 is an abundant number, since it is smaller than the sum of its proper divisors (205799871312294).

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

100021110021210 is a wasteful number, since it uses less digits than its factorization.

100021110021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947958 (or 947951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100021110021210 its reverse (12120011120001), we get a palindrome (112141121141211).

The spelling of 100021110021210 in words is "one hundred trillion, twenty-one billion, one hundred ten million, twenty-one thousand, two hundred ten".