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100210121012100 = 2235211477126933829
BaseRepresentation
bin10110110010001111111100…
…101010100111001110000100
3111010210222211122001220022010
4112302033330222213032010
5101113320311434341400
6553043521041134220
730051641134236201
oct2662177452471604
9433728748056263
10100210121012100
1129a25967925590
12b2a548692a370
1343bba0a242078
141aa62a5156ca8
15b8ba66557450
hex5b23fcaa7384

100210121012100 has 576 divisors, whose sum is σ = 328806555033600. Its totient is φ = 23353768704000.

The previous prime is 100210121012041. The next prime is 100210121012101. The reversal of 100210121012100 is 1210121012001.

100210121012100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (100210121012101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2962237986 + ... + 2962271814.

It is an arithmetic number, because the mean of its divisors is an integer number (570844713600).

Almost surely, 2100210121012100 is an apocalyptic number.

100210121012100 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 100210121012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164403277516800).

100210121012100 is an abundant number, since it is smaller than the sum of its proper divisors (228596434021500).

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

100210121012100 is a wasteful number, since it uses less digits than its factorization.

100210121012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34244 (or 34237 counting only the distinct ones).

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

Adding to 100210121012100 its reverse (1210121012001), we get a palindrome (101420242024101).

Subtracting from 100210121012100 its reverse (1210121012001), we obtain a palindrome (99000000000099).

The spelling of 100210121012100 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, one hundred".