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211221010001100 = 223521179246721961
BaseRepresentation
bin110000000001101010111001…
…010001010010110011001100
31000200212112100100121001200010
4300001222321101102303030
5210141121112030013400
62025121331544233220
762330133350515521
oct6001527121226314
91020775310531603
10211221010001100
1161335366697230
121b834068a6b810
1390b20957090c8
143a23219755148
151964523443450
hexc01ab9452ccc

211221010001100 has 432 divisors, whose sum is σ = 676712972347776. Its totient is φ = 50446371456000.

The previous prime is 211221010001093. The next prime is 211221010001107. The reversal of 211221010001100 is 1100010122112.

It is an interprime number because it is at equal distance from previous prime (211221010001093) and next prime (211221010001107).

It is a super-2 number, since 2×2112210100011002 (a number of 29 digits) contains 22 as substring.

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 (211221010001107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9617994120 + ... + 9618016080.

It is an arithmetic number, because the mean of its divisors is an integer number (1566465213768).

Almost surely, 2211221010001100 is an apocalyptic number.

211221010001100 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 211221010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338356486173888).

211221010001100 is an abundant number, since it is smaller than the sum of its proper divisors (465491962346676).

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

211221010001100 is a wasteful number, since it uses less digits than its factorization.

211221010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22614 (or 22528 counting only the distinct ones).

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

Adding to 211221010001100 its reverse (1100010122112), we get a palindrome (212321020123212).

The spelling of 211221010001100 in words is "two hundred eleven trillion, two hundred twenty-one billion, ten million, one thousand, one hundred".