100101002210000 has 300 divisors, whose sum is σ = 266807348921652. Its totient is φ = 36343296000000.

The previous prime is 100101002209951. The next prime is 100101002210003. The reversal of 100101002210000 is 12200101001.

It can be written as a sum of positive squares in 10 ways, for example, as 38589043392064 + 61511958817936 = 6212008^2 + 7842956^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100101002210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002210003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 775545470 + ... + 775674530.

Almost surely, 2^{100101002210000} is an apocalyptic number.

100101002210000 is a gapful number since it is divisible by the number (10) 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 100101002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133403674460826).

100101002210000 is an abundant number, since it is smaller than the sum of its proper divisors (166706346711652).

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

100101002210000 is a wasteful number, since it uses less digits than its factorization.

100101002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129752 (or 129720 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101002210000 its reverse (12200101001), we get a palindrome (100113202311001).

The spelling of 100101002210000 in words is "one hundred trillion, one hundred one billion, two million, two hundred ten thousand".