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10020212102100 = 223521737531001911
BaseRepresentation
bin1001000111010000001100…
…1011101101001111010100
31022110220220210212102110110
42101310003023231033110
52303132343244231400
633151115532323020
72052636124361544
oct221640313551724
938426823772413
1010020212102100
113213603561532
121159b98913470
13578b95766a55
14268da3667324
151259ae608e50
hex91d032ed3d4

10020212102100 has 288 divisors, whose sum is σ = 32121747576576. Its totient is φ = 2400736665600.

The previous prime is 10020212102093. The next prime is 10020212102143. The reversal of 10020212102100 is 120121202001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9500145 + ... + 10502055.

It is an arithmetic number, because the mean of its divisors is an integer number (111533845752).

Almost surely, 210020212102100 is an apocalyptic number.

10020212102100 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 10020212102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060873788288).

10020212102100 is an abundant number, since it is smaller than the sum of its proper divisors (22101535474476).

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

10020212102100 is a wasteful number, since it uses less digits than its factorization.

10020212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002035 (or 1002028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020212102100 its reverse (120121202001), we get a palindrome (10140333304101).

Subtracting from 10020212102100 its reverse (120121202001), we obtain a palindrome (9900090900099).

The spelling of 10020212102100 in words is "ten trillion, twenty billion, two hundred twelve million, one hundred two thousand, one hundred".