100101201210100 has 18 divisors (see below), whose sum is σ = 217219606626134. Its totient is φ = 40040480484000.

The previous prime is 100101201210097. The next prime is 100101201210103. The reversal of 100101201210100 is 1012102101001.

It is an interprime number because it is at equal distance from previous prime (100101201210097) and next prime (100101201210103).

It can be written as a sum of positive squares in 3 ways, for example, as 9381405416464 + 90719795793636 = 3062908^2 + 9524694^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101201210103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500506005951 + ... + 500506006150.

Almost surely, 2^{100101201210100} is an apocalyptic number.

100101201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101201210100 is an abundant number, since it is smaller than the sum of its proper divisors (117118405416034).

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

100101201210100 is a wasteful number, since it uses less digits than its factorization.

100101201210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001012012115 (or 1001012012108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101201210100 its reverse (1012102101001), we get a palindrome (101113303311101).

The spelling of 100101201210100 in words is "one hundred trillion, one hundred one billion, two hundred one million, two hundred ten thousand, one hundred".