100021121102100 has 288 divisors, whose sum is σ = 325005866543232. Its totient is φ = 23536154880000.

The previous prime is 100021121102047. The next prime is 100021121102101. The reversal of 100021121102100 is 1201121120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021121102101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50431210 + ... + 52376990.

It is an arithmetic number, because the mean of its divisors is an integer number (1128492592164).

Almost surely, 2^{100021121102100} is an apocalyptic number.

100021121102100 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 100021121102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162502933271616).

100021121102100 is an abundant number, since it is smaller than the sum of its proper divisors (224984745441132).

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

100021121102100 is a wasteful number, since it uses less digits than its factorization.

100021121102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946267 (or 1946260 counting only the distinct ones).

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

Adding to 100021121102100 its reverse (1201121120001), we get a palindrome (101222242222101).

It can be divided in two parts, 100021 and 121102100, that added together give a palindrome (121202121).

The spelling of 100021121102100 in words is "one hundred trillion, twenty-one billion, one hundred twenty-one million, one hundred two thousand, one hundred".