100020210121000 has 256 divisors, whose sum is σ = 260513029969920. Its totient is φ = 35693706240000.

The previous prime is 100020210120979. The next prime is 100020210121003. The reversal of 100020210121000 is 121012020001.

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

It is not an unprimeable number, because it can be changed into a prime (100020210121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317003320 + ... + 317318680.

It is an arithmetic number, because the mean of its divisors is an integer number (1017629023320).

Almost surely, 2^{100020210121000} is an apocalyptic number.

100020210121000 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 100020210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130256514984960).

100020210121000 is an abundant number, since it is smaller than the sum of its proper divisors (160492819848920).

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

100020210121000 is a wasteful number, since it uses less digits than its factorization.

100020210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316213 (or 316199 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020210121000 its reverse (121012020001), we get a palindrome (100141222141001).

The spelling of 100020210121000 in words is "one hundred trillion, twenty billion, two hundred ten million, one hundred twenty-one thousand".