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210002120021100 = 22352111014911283237
BaseRepresentation
bin101111101111111011101101…
…110001000001010001101100
31000112120000011211001112121210
4233233323231301001101230
5210011133320211133400
62022345350405554420
762143103205603501
oct5757735561012154
91015500154045553
10210002120021100
1160a0544300a620
121b677999115a10
1390241656c5154
1439c022a5314a8
1519429851a1950
hexbefeedc4146c

210002120021100 has 288 divisors, whose sum is σ = 670769732489472. Its totient is φ = 50302851200000.

The previous prime is 210002120021093. The next prime is 210002120021117. The reversal of 210002120021100 is 1120021200012.

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

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, 163008682 + ... + 164291918.

It is an arithmetic number, because the mean of its divisors is an integer number (2329061571144).

Almost surely, 2210002120021100 is an apocalyptic number.

210002120021100 is a gapful number since it is divisible by the number (20) 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 210002120021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335384866244736).

210002120021100 is an abundant number, since it is smaller than the sum of its proper divisors (460767612468372).

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

210002120021100 is a wasteful number, since it uses less digits than its factorization.

210002120021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283857 (or 1283850 counting only the distinct ones).

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

Adding to 210002120021100 its reverse (1120021200012), we get a palindrome (211122141221112).

The spelling of 210002120021100 in words is "two hundred ten trillion, two billion, one hundred twenty million, twenty-one thousand, one hundred".