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21121221002100 = 2235270404070007
BaseRepresentation
bin1001100110101101010101…
…11000000000001101110100
32202210011120012120212122020
410303112222320000031310
510232022230034031400
6112530542135233140
74306646355213132
oct463265270001564
982704505525566
1021121221002100
116803506698a9a
1224515262187b0
13ba295170268b
145303b5c46752
1526962888b2a0
hex1335aae00374

21121221002100 has 36 divisors (see below), whose sum is σ = 61110732766944. Its totient is φ = 5632325600480.

The previous prime is 21121221002041. The next prime is 21121221002117. The reversal of 21121221002100 is 120012212112.

It is a super-2 number, since 2×211212210021002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21121221002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35202034704 + ... + 35202035303.

Almost surely, 221121221002100 is an apocalyptic number.

21121221002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121221002100 is an abundant number, since it is smaller than the sum of its proper divisors (39989511764844).

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

21121221002100 is a wasteful number, since it uses less digits than its factorization.

21121221002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70404070024 (or 70404070017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21121221002100 its reverse (120012212112), we get a palindrome (21241233214212).

The spelling of 21121221002100 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 70404070007 140808140014 211212210021 281616280028 352020350035 422424420042 704040700070 844848840084 1056061050105 1408081400140 1760101750175 2112122100210 3520203500350 4224244200420 5280305250525 7040407000700 10560610501050 21121221002100